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A metal spike is made from a cube with a pyramid attached to one of the cube’s faces, as shown in the diagram. Given the dimensions indicated in the diagram, find the exact volume and exact surface area of the spike.

A metal spike is made from a cube with a pyramid attached to one of the cube’s faces, as shown in the diagram. Given the dimensions indicated in the diagram, find the exact volume and exact surface area of the spike.

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Volume of cubes and rectangular prisms: word problemsright chevron icon

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A cylindrical soda can has a volume of 108π cm3108\pi\ \text{cm}^{3} and a height of 12cm12\text{cm}. What is the surface area of the soda can in square centimeters?\newlineChoose 11 answer:\newline(A) 18πcm218\pi\text{cm}^{2}\newline(B) 36πcm236\pi\text{cm}^{2}\newline(C) 72πcm272\pi\text{cm}^{2}\newline(D) 90πcm290\pi\text{cm}^{2}
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A cake pan is in the shape of a right rectangular prism 20 cm20\,\text{cm} long by 20 cm20\,\text{cm} wide by 5 cm5\,\text{cm} high. The pan contains 1,000 cm31,000\,\text{cm}^3 of batter. Approximately how far is the cake batter from the top of the pan?\newline Choose 11 answer:\newline (A) 1 cm1\,\text{cm}\newline (B) 2.5 cm2.5\,\text{cm}\newline (C) 5 cm5\,\text{cm}\newline (D) 7 cm7\,\text{cm}
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A contractor is to build a new structure at a farm for seed storage. It will have a rectangular base, which is 2020 feet wide by 3535 feet long, with walls of thickness tt feet. The structure is 9090 feet tall. Excluding the volume of the walls, which of the following functions best models the volume, VV, in cubic feet, inside the structure?
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Rocio drops a ball from a height of 44 meters. Rocio observes that each time the ball bounces, it reaches a peak height which is \newline79%79\% of the previous peak height, as shown. Which of the following equations correctly models the ball's peak height, \newlinehh, in meters, after \newlinebb bounces?\newlineChoose 11 answer:\newline(A) \newlineh=4⋅0.79(b−1)h=4\cdot0.79^{(b-1)}\newline(B) \newlineh=4⋅0.79bh=4\cdot0.79^{b}\newline(C) \newlineh=4−0.79⋅b2h=4-0.79\cdot b^{2}\newline(D) \newlineh=4⋅(1−0.79⋅b2)h=4\cdot(1-0.79\cdot b^{2})
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Imani's grandmother's house is 55 miles west of her own house down Main Street. While at her grandmother's, Imani decides to ride her bike farther west down Main Street at 1010 miles per hour. Which equation best describes the distance, \newlinedd, in miles, Imani is from home after \newlinett hours?\newlineChoose 11 answer:\newline(A) d=5+10td=5+10t\newline(B) d=5−10td=5-10t\newline(C)d=5t+10d=5t+10\newline(D)d=5t−10d=5t-10
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A piece of wood has a mass of m1m_1 grams and a volume of V1V_1 cubic centimeters. A second piece of wood has the same density ρ\rho and a volume of V2V_2. What is the mass, in grams, of the second piece of wood?
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The function models RR, the revenue, in dollars, from selling a particular board game at a price of xx dollars. What is the revenue if the board game is sold at a price of 3030 dollars?\newlineChoose 11 answer:\newline(A) $500,000\$500,000\newline(B) $800,000\$800,000\newline(C) $900,000\$900,000\newline(D) $1,770,000\$1,770,000
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Posted 8 months ago

Question
Rocio drops a ball from a height of 44 meters. Rocio observes that each time the ball bounces, it reaches a peak height which is 79%79\% of the previous peak height, as shown. Which of the following equations correctly models the ball's peak height, hh, in meters, after bb bounces?\newlineChoose 11 answer:\newline(A) h=4⋅0.79(b−1)h=4\cdot0.79^{(b-1)}\newline(B) h=4⋅0.79bh=4\cdot0.79^{b}\newline(C) h=4−0.79⋅b2h=4-0.79\cdot b^{2}\newline(D) h=4⋅(1−0.79⋅b2)h=4\cdot(1-0.79\cdot b^{2})
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What is the volume, in cubic inches, of a rectangular prism with a height of 77 inches, a width of 55 inches, and a length of 55 inches?\newlineAnswer: V=□ V=\square inches 3 ^{3}
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A rectangular prism has a length of 22 inches, a height of 1616 inches, and a width of 1515 inches. What is its volume, in cubic inches?\newlineAnswer: V=□ V=\square inches 3 ^{3}
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