Question

A fish tank in the shape of a right rectangular prism has a volume of 1,920 cubic inches. What is the width of the tank if the height is 12 inches and the length is 20 inches

Answer 1

Using the formula for the volume of a right rectangular prism, what is the area of the base when the volume is 50 cubic units and the height is 2

Answer 2

The volume of a right rectangular prism is 1,000, the height is 10, and the length is 20. What is the width

Answer 3

Monica is constructing a box in the shape of a right rectangular prism to hold grain on her farm. Use the formula for the volume of a rectangular prism to find the area of the base when the volume is 50 cubic feet and the height is 4 feet

Answer 4

Hakeem is building a box in the shape of a right rectangular prism to store his toys. It has a volume of 162,000 cubic centimeters. What is the width of the box if the height is 40 cm and the length is 90 cm

Answer 5

To find the width of the fish tank, we can use the formula for the volume of a right rectangular prism:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

Given:
- Volume = 1,920 cubic inches
- Height = 12 inches
- Length = 20 inches

We need to find the width (W). Plugging in the known values into the volume formula, we have:

\[
1920 = 20 \times W \times 12
\]

First, multiply the length and height:

\[
20 \times 12 = 240
\]

Now, substitute this into the volume equation:

\[
1920 = 240 \times W
\]

To find W, divide both sides of the equation by 240:

\[
W = \frac{1920}{240}
\]

Calculating the right side:

\[
W = 8
\]

Thus, the width of the tank is \( \boxed{8} \) inches.

Answer 6

To find the area of the base of a right rectangular prism, we can use the formula for volume:

\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]

Let's denote the base area as \( A \). Given the volume is 50 cubic units and the height is 2 units, we can set up the equation:

\[
50 = A \times 2
\]

To find the base area \( A \), divide both sides of the equation by 2:

\[
A = \frac{50}{2}
\]

Calculating the right side gives:

\[
A = 25
\]

Thus, the area of the base is \( \boxed{25} \) square units.

Answer 7

To find the width of a right rectangular prism, we can use the formula for the volume:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

We are given:
- Volume = 1,000 cubic units
- Height = 10 units
- Length = 20 units

Let \( W \) represent the width. Substituting the known values into the volume formula, we have:

\[
1000 = 20 \times W \times 10
\]

First, we calculate \( 20 \times 10 \):

\[
20 \times 10 = 200
\]

Now, our equation becomes:

\[
1000 = 200 \times W
\]

To solve for \( W \), divide both sides by 200:

\[
W = \frac{1000}{200}
\]

Calculating the right side:

\[
W = 5
\]

Thus, the width of the prism is \( \boxed{5} \) units.

Answer 8

To find the area of the base of a right rectangular prism, we can use the formula for the volume:

\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]

Let's denote the base area as \( A \). We know the volume is \( 50 \) cubic feet and the height is \( 4 \) feet. Thus, we can set up the equation:

\[
50 = A \times 4
\]

To find \( A \), we divide both sides of the equation by \( 4 \):

\[
A = \frac{50}{4}
\]

Calculating the right side gives:

\[
A = 12.5
\]

Therefore, the area of the base is \( \boxed{12.5} \) square feet.

Answer 9

To find the width of the box in the shape of a right rectangular prism, we can use the formula for the volume:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]

Given:
- Volume = 162,000 cubic centimeters
- Height = 40 cm
- Length = 90 cm

Let \( W \) represent the width. We can substitute the known values into the volume formula:

\[
162,000 = 90 \times W \times 40
\]

First, calculate \( 90 \times 40 \):

\[
90 \times 40 = 3600
\]

Now, our equation becomes:

\[
162,000 = 3600 \times W
\]

To find \( W \), divide both sides by 3600:

\[
W = \frac{162,000}{3600}
\]

Calculating the right side gives:

\[
W = 45
\]

Thus, the width of the box is \( \boxed{45} \) centimeters.