Question

The figure below shows a shed in the shape of a rectangular prism.

Note that the shed has a floor.

Answer 1

The volume of the cuboid 1248 ft³. The surface area is 712 ft³. The surface area helps the shed maker knows how much metal was needed. The volume helps us to know how much the shed holds.

What is the volume and surface area of a cuboid?

The volume of a cuboid is the amount of space occupied in the cuboid or the capacity of what it holds. The surface area of a cuboid is total area covered by the six faces of the cuboid.

The volume of the cuboid can be calculated by using the formula:

Volume = length × width × height.

Volume = (12 × 13 × 8) ft³

Volume = 1248 ft³

Thee surface area of the cuboid is calculated by using the formula:

SA = 2lw+2lh+2hw.

where;

• l = 13 ft
• w = 8 ft
• h = 12 ft

SA = 2(13×8)+2(13×12) +2(12×8)

SA = 712 ft³

The surface area helps the shed maker knows how much metal was needed. The volume helps us to know how much the shed holds.

Answer 2

Explanation:

a). Volume of a rectangular prism = Length × width × height

= 13 × 8 × 12

= 1248 cubic ft

Surface area of a rectangular prism = (lb + bh + hl)

Here, l = length, b = width and h = height of the rectangular prism

Surface area of the given prism = (13×8 + 8×12 + 12×13)

= 356 square ft

b). If the shed is made of metal,

Metal needed to make the shed = Volume

c). The shed is used for the storage.

Measure would be used → Surface area