Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5cm long by 15cm wide. Martene put 3885cm^(3) of water in the aquarium. How deep is the water in the aquarium? cm

Denote Depth as 'd': Let's denote the depth of the water in the aquarium as d in centimeters. The volume V of water in a right rectangular prism (the shape of the aquarium) is given by the formula V = length * width * depth. We know the volume of water, the length, and the width of the aquarium, so we can solve for the depth.Calculate Volume Equation: Given the volume of water V = 3885 cm^3, the length l = 18.5 cm, and the width w = 15 cm, we can set up the equation 3885 = 18.5 * 15 * d to find the depth d.Set Up Equation: Now we solve for d by dividing both sides of the equation by the product of the length and width: d = 3885 / (18.5 * 15).Solve for Depth: Performing the calculation gives us d = 3885 / 277.5.Calculate Final Depth: Calculating the division, we get d ≈ 14. Therefore, the depth of the water in the aquarium is approximately 14 centimeters.

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Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism
18.5cm long by
15cm wide. Martene put
3885cm^(3) of water in the aquarium.
How deep is the water in the aquarium?
cm

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism $18.5 \mathrm{~cm}$ long by $15 \mathrm{~cm}$ wide. Martene put $3885 \mathrm{~cm}^{3}$ of water in the aquarium. $\newline$ How deep is the water in the aquarium? $\newline$ cm

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Q. Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism

18.5 \mathrm{~cm}

long by

15 \mathrm{~cm}

wide. Martene put

3885 \mathrm{~cm}^{3}

of water in the aquarium.

\newline

How deep is the water in the aquarium?

\newline

Denote Depth as 'd': Let's denote the depth of the water in the aquarium as $d$ in centimeters. The volume $V$ of water in a right rectangular prism (the shape of the aquarium) is given by the formula $V = \text{length} \times \text{width} \times \text{depth}$ . We know the volume of water, the length, and the width of the aquarium, so we can solve for the depth.
Calculate Volume Equation: Given the volume of water $V = 3885 \, \text{cm}^3$ , the length $l = 18.5 \, \text{cm}$ , and the width $w = 15 \, \text{cm}$ , we can set up the equation $3885 = 18.5 \times 15 \times d$ to find the depth $d$ .
Set Up Equation: Now we solve for $d$ by dividing both sides of the equation by the product of the length and width: $d = \frac{3885}{(18.5 \times 15)}$ .
Solve for Depth: Performing the calculation gives us $d = \frac{3885}{277.5}$ .
Calculate Final Depth: Calculating the division, we get $d \approx 14$ . Therefore, the depth of the water in the aquarium is approximately $14$ centimeters.