Formula for Volume of a Rectangular Prism

• Length ($l$) = $10$ inches
• Width ($w$) = $4$ inches
• Height ($h$) = $6$ inches
• Volume = $l \times w \times h = 10 \times 4 \times 6 = 240$ in$^3$

The volume of this prism is $240$ cubic inches.

• Length ($l$) = $7$ ft
• Width ($w$) = $5$ ft
• Height ($h$) = $2$ ft
• Volume = $l \times w \times h = 7 \times 5 \times 2 = 70$ ft$^3$

The volume of this box is $70$ cubic feet.

• Length ($l$) = $9$ cm
• Width ($w$) = $8$ cm
• Height ($h$) = $4$ cm
• Volume = $l \times w \times h = 9 \times 8 \times 4 = 288$ cm$^3$

The volume of this prism is $288$ cubic centimeters.

• Length ($l$) = $6$ m
• Width ($w$) = $3$ m
• Height ($h$) = $2.5$ m
• Volume = $l \times w \times h = 6 \times 3 \times 2.5 = 45$ m$^3$

The volume of this container is $45$ cubic meters.

• Length ($l$) = $10$ cm
• Width ($w$) = $5$ cm
• Height ($h$) = $8$ cm
• First, calculate the base area ($B$): $B = l \times w = 10 \times 5 = 50$ cm$^2$
• Then, calculate the volume: $V = B \times h = 50 \times 8 = 400$ cm$^3$

The volume of the prism is $400$ cubic centimeters.

• Length ($l$) = $6$ inches
• Width ($w$) = $4$ inches
• Height ($h$) = $10$ inches
• Calculate the base area ($B$): $B = l \times w = 6 \times 4 = 24$ in$^2$
• Calculate the volume: $V = B \times h = 24 \times 10 = 240$ in$^3$

The volume of the prism is $240$ cubic inches.

• Length ($l$) = $3$ m
• Width ($w$) = $2$ m
• Height ($h$) = $5$ m
• Calculate the base area ($B$): $B = l \times w = 3 \times 2 = 6$ m$^2$
• Calculate the volume: $V = B \times h = 6 \times 5 = 30$ m$^3$

The volume of the prism is $30$ cubic meters.

• Length ($l$) = $12$ ft
• Width ($w$) = $7$ ft
• Height ($h$) = $9$ ft
• Find the base area ($B$): $B = l \times w = 12 \times 7 = 84$ ft$^2$
• Find the volume: $V = B \times h = 84 \times 9 = 756$ ft$^3$

The volume of this prism is $756$ cubic feet.

Volume = $l \times w \times h = 8 \times 7 \times 10 = 560 \text{ cm}^3$. The box's volume is 560 cubic centimeters.

Volume = $l \times w \times h = 30 \times 4 \times 1.5 = 180 \text{ ft}^3$. The garden bed's volume is 180 cubic feet.

First find the base area, $B = l \times w = 24 \times 18 = 432 \text{ in}^2$. Then, Volume = $B \times h = 432 \cdot 15 = 6,480 \text{ in}^3$. The toy box's volume is 6,480 cubic inches.

Volume = $l \times w \times h = 75 \times 30 \times 40 = 90,000 \text{ cm}^3$. The fish tank's volume is 90,000 cubic centimeters.

First find the base area, $B = l \times w = 2 \times 1 = 2 \text{ yd}^2$. Then, Volume = $B \times h = 2 \times 1.5 = 3 \text{ yd}^3$. The storage unit's volume is 3 cubic yards.

To find the area of the base (B), use the formula $V = B \times h$: $B = \frac{V}{h} = \frac{1,536}{8} = 192$ in$^2$. The area of the base of the box is $192$ square inches.

The formula to find the volume of a rectangular prism is $V = l \times w \times h$, where $V$ is the volume, $l$ is the length, $w$ is the width, and $h$ is the height.

Yes, a rectangular prism can have the same volume as a cube if the product of its length, width, and height equals the cube's volume.

If a dimension is missing, you can rearrange the volume formula to solve for it, using the known volume and the other two dimensions.

In the formula $V = B \times h$, $B$ represents the area of the base (length times width), and $h$ is the height. It's another way to express the volume of a rectangular prism.

No, you need the height along with the length and width to calculate the volume of a rectangular prism.

The units of length, width, and height must be the same when calculating volume, and the volume's units will be cubic units of the same type.

Volume measures the space inside a rectangular prism, while surface area measures the total area of all the outside faces of the prism.

Yes, the volume formula $V = l \times w \times h$ applies to all rectangular prisms, regardless of their size.

Increasing any dimension of a rectangular prism will increase its volume, as volume is directly proportional to each dimension.

Understanding the volume of a rectangular prism is important for real-life applications like packaging, building, and determining storage capacity.