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Math Problems
Grade 8
Circles: word problems
The volume of a rectangular prism is
441
c
m
3
441 \mathrm{~cm}^{3}
441
cm
3
. Alex measures the sides to be
6.6
c
m
6.6 \mathrm{~cm}
6.6
cm
by
6.93
c
m
6.93 \mathrm{~cm}
6.93
cm
by
8.51
c
m
8.51 \mathrm{~cm}
8.51
cm
. In calculating the volume, what is the relative error, to the nearest hundredth.
\newline
Answer:
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The volume of a rectangular prism is
336
c
m
3
336 \mathrm{~cm}^{3}
336
cm
3
. Eric measures the sides to be
6.34
c
m
6.34 \mathrm{~cm}
6.34
cm
by
8.03
c
m
8.03 \mathrm{~cm}
8.03
cm
by
7.46
c
m
7.46 \mathrm{~cm}
7.46
cm
. In calculating the volume, what is the relative error, to the nearest thousandth.
\newline
Answer:
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The volume of a rectangular prism is
720
f
t
3
720 \mathrm{ft}^{3}
720
ft
3
. Alex measures the sides to be
9.66
f
t
9.66 \mathrm{ft}
9.66
ft
by
9.11
f
t
9.11 \mathrm{ft}
9.11
ft
by
7.59
f
t
7.59 \mathrm{ft}
7.59
ft
. In calculating the volume, what is the relative error, to the nearest thousandth.
\newline
Answer:
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The volume of a rectangular prism is
63
f
t
3
63 \mathrm{ft}^{3}
63
ft
3
. Eric measures the sides to be
6.59
f
t
6.59 \mathrm{ft}
6.59
ft
by
3.44
f
t
3.44 \mathrm{ft}
3.44
ft
by
3.15
f
t
3.15 \mathrm{ft}
3.15
ft
. In calculating the volume, what is the relative error, to the nearest thousandth.
\newline
Answer:
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The volume of a rectangular prism is
480
c
m
3
480 \mathrm{~cm}^{3}
480
cm
3
. David measures the sides to be
6
6
6
.
49
49
49
c
m
\mathrm{cm}
cm
by
9.99
c
m
9.99 \mathrm{~cm}
9.99
cm
by
8.41
c
m
8.41 \mathrm{~cm}
8.41
cm
. In calculating the volume, what is the relative error, to the nearest hundredth.
\newline
Answer:
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The volume of a rectangular prism is
126
f
t
3
126 \mathrm{ft}^{3}
126
ft
3
. Bob measures the sides to be
9.48
f
t
9.48 \mathrm{ft}
9.48
ft
by
7.21
f
t
7.21 \mathrm{ft}
7.21
ft
by
1.93
f
t
1.93 \mathrm{ft}
1.93
ft
. In calculating the volume, what is the relative error, to the nearest thousandth.
\newline
Answer:
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The volume of a rectangular prism is
140
f
t
3
140 \mathrm{ft}^{3}
140
ft
3
. Eric measures the sides to be
7.12
f
t
7.12 \mathrm{ft}
7.12
ft
by
3.83
f
t
3.83 \mathrm{ft}
3.83
ft
by
5.49
f
t
5.49 \mathrm{ft}
5.49
ft
. In calculating the volume, what is the relative error, to the nearest thousandth.
\newline
Answer:
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The volume of a rectangular prism is
270
i
n
3
270 \mathrm{in}^{3}
270
in
3
. Alex measures the sides to be
5
5
5
.
71
71
71
in by
5
5
5
.
46
46
46
in by
9
9
9
.
4
4
4
in. In calculating the volume, what is the relative error, to the nearest hundredth.
\newline
Answer:
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The volume of a rectangular prism is
48
c
m
3
48 \mathrm{~cm}^{3}
48
cm
3
. David measures the sides to be
6.1
c
m
6.1 \mathrm{~cm}
6.1
cm
by
3.89
c
m
3.89 \mathrm{~cm}
3.89
cm
by
2.21
c
m
2.21 \mathrm{~cm}
2.21
cm
. In calculating the volume, what is the relative error, to the nearest hundredth.
\newline
Answer:
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The volume of a rectangular prism is
108
c
m
3
108 \mathrm{~cm}^{3}
108
cm
3
. Eric measures the sides to be
3.32
c
m
3.32 \mathrm{~cm}
3.32
cm
by
4.04
c
m
4.04 \mathrm{~cm}
4.04
cm
by
8.72
c
m
8.72 \mathrm{~cm}
8.72
cm
. In calculating the volume, what is the relative error, to the nearest thousandth.
\newline
Answer:
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Andrew is pulling a sled with a force of
275
275
275
newtons by holding a rope at a
5
8
∘
58^{\circ}
5
8
∘
angle. His brother Austin is pushing the sled with a force of
320
320
320
newtons. Determine the magnitude and direction of the resultant force on the sled. Round all angles to the nearest tenth and sides to the nearest hundredths.
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The diameter of a circle is
36
36
36
feet. What is the circle's area?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
_____
square feet
\text{square feet}
square feet
\newline
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What is the volume of a cylinder with a radius of
3
3
3
feet and a height of
4
4
4
feet?
\newline
Use
3.14
3.14
3.14
for pi.
\newline
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What is the volume of a cylinder with a radius of
3
3
3
feet and a height of
4
4
4
feet?
\newline
Use
3
3
3
.
14
14
14
for pi.
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The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is
98
98
98
centimeters. Find the length and width of the rectangle.
\newline
Width
=
□
centimeters
Length
=
□
centimeters
\text { Width }=\square \text { centimeters } \quad \text { Length }=\square \text { centimeters }
Width
=
□
centimeters
Length
=
□
centimeters
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Find the volume of a right circular cone that has a height of
3
3
3
.
1
1
1
in
\text{in}
in
and a base with a diameter of
6
6
6
.
6
6
6
in
\text{in}
in
. Round your answer to the nearest tenth of a cubic inch.
\newline
Answer:
in
\text{in}
in
3
^{3}
3
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Find the volume of a right circular cone that has a height of
12.5
c
m
12.5 \mathrm{~cm}
12.5
cm
and a base with a diameter of
9.1
c
m
9.1 \mathrm{~cm}
9.1
cm
. Round your answer to the nearest tenth of a cubic centimeter.
\newline
Answer:
c
m
3
\mathrm{cm}^{3}
cm
3
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Find the volume of a right circular cone that has a height of
18.2
f
t
18.2 \mathrm{ft}
18.2
ft
and a base with a diameter of
18.8
f
t
18.8 \mathrm{ft}
18.8
ft
. Round your answer to the nearest tenth of a cubic foot.
\newline
Answer:
f
t
3
\mathrm{ft}^{3}
ft
3
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Find the volume of a right circular cone that has a height of
13.3
f
t
13.3 \mathrm{ft}
13.3
ft
and a base with a diameter of
9.4
f
t
9.4 \mathrm{ft}
9.4
ft
. Round your answer to the nearest tenth of a cubic foot.
\newline
Answer:
f
t
3
\mathrm{ft}^{3}
ft
3
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Find the volume of a right circular cone that has a height of
7.4
c
m
7.4 \mathrm{~cm}
7.4
cm
and a base with a radius of
8.1
c
m
8.1 \mathrm{~cm}
8.1
cm
. Round your answer to the nearest tenth of a cubic centimeter.
\newline
Answer:
c
m
3
\mathrm{cm}^{3}
cm
3
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One of the legs of a right triangle measures
8
c
m
8 \mathrm{~cm}
8
cm
and the other leg measures
15
c
m
15 \mathrm{~cm}
15
cm
. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
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One of the legs of a right triangle measures
15
c
m
15 \mathrm{~cm}
15
cm
and its hypotenuse measures
17
c
m
17 \mathrm{~cm}
17
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
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The hypotenuse of a right triangle measures
17
c
m
17 \mathrm{~cm}
17
cm
and one of its legs measures
8
c
m
8 \mathrm{~cm}
8
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
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The radius of a semicircle is
3
3
3
yards. What is the semicircle's area?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
square yards
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