Question

Which is true about the volume or surface area of these prisms?

The surface area of A is greater than the surface area of B.

The surface area of B is greater than the surface area of A.

The volume of A is greater than the volume of B.

The volume of B is greater than the volume of A.

Answer 1

The surface area of A is greater than the surface area of B

Explanation:

Volume = L x W x H

A= 3 x 2 x 10

= 60m^3

B = 2 x 6 x 5

= 60m^3

Surface Area = 2(l x w) + 2(l x h) + 2(w x h)

A = 2(3 x 2) + 2(3 x 10) + 2(2 x 10)

= 2x6 + 2x30 + 2x20

= 12 + 60 + 40

= 112m^2

B = 2(l x w) + 2(l x h) + 2(w x h)

= 2(2 x 6) + 2(2 x 5) + 2(6 x 5)

= 2x12 + 2x10 + 2x30

= 24 + 20 + 60

= 104m^2

Answer 2

the surface area of A is greater than the surface area of B

Explanation:

A surface area: 112

B surface area: 104

A area: 60

B area: 60