Formula for Volume of a Cuboid

• 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 cuboid 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 cuboid is $288$ cubic centimetres.

• 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 metres.

• 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 cuboid is $400$ cubic centimetres.

• 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 cuboid 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 cuboid is $30$ cubic metres.

• 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 cuboid 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 centimetres.

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 = $B \times h = 432 \times 15 = 6,480 \text{ in}^3$. 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.

You should notice that the width of the box is in a different unit. It is important to make sure all of the units are the same before beginning any volume calculation. To do this, we can convert $50$ mm to $5$ cm. Now we can calculate the volume by using the calculation $V=20 \times 5 \times 10 = 1000$ cm$^3$. The volume of the cereal box is $1000$ cubic centimetres.

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 cuboid, or rectangular prism.

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

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 cuboid, while surface area measures the total area of all the outside faces of the cuboid.

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

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

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