Which shows the dimensions of two rectangular prisms that have volumes of 240 ft3 but different surface areas? a) 8 ft by 5 ft by 6 ft and 5 ft by 6 ft by 8 ft b) 8 ft by 5 ft by 6 ft and 10 ft by 8 ft by 3 ft c) 15 ft by 8 ft by 2 ft and 6 ft by 4 ft by 15 ft d) 12 ft by 6 ft by 5 ft and 8 ft by 10 ft by 3 ft

Calculate the volume and surface areas of both rectangular prisms for each option.

A:

Rectangular Prism #1






Rectangular Prism #2






This is incorrect, they have the same volume of 240 cubic feet and the same surface areas.

B:

Rectangular Prism #1







Rectangular Prism #2







: Both have the same volume of 240 cubic feet, but different surface areas.

C:

Rectangular Prism #1







Rectangular Prism #2







This is incorrect, they have different surface areas, but only Rectangle #1 has a volume of 240 cubic feet.

D:

Rectangular Prism #1







Rectangular Prism #2







This is incorrect, they both have different surface areas but only Rectangle #2 has a volume of 240 cubic feet.