Question

What are the volume and the surface area of this storage chest?

Answer 1

Surface Area:
`18ft^3`

Volume:
`44ft^2`

Explanation:

Volume Formula --> base * height

`(4.5 * 2) * 2 = 9*2=18ft^3`

Surface Area Formula --> 2(width*length + height*length + height*width)

`2((2*4.5) + (2*4.5)+(2*2)) = 2(9+9+4) = 2(22) = 44ft^2`

Answer 2

Volume = 18 ft³

Surface area = 44 ft²

Explanation:

Volume

Volume of a cuboid = base length × base width × height

Given:

• base length = 4.5 ft
• base width = 2 ft
• height = 2 ft

Substitute given values into formula:

⇒ Volume = 4.5 × 2 × 2 = 18 ft³

Surface Area

Surface area = 2(base width × height) + 2(base length × height) + 2(base length × base width)

=2(2 × 2) + 2(4.5 × 2) + 2(4.5 × 2)

= 8 + 18 + 18

= 44 ft²