Question

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;
5 ft by 6 ft by 8 ft

B.
8 ft by 5 ft by 6 ft;
10 ft by 8 ft by 3 ft

C.
15 ft by 8 ft by 2 ft;
6 ft by 4 ft by 15 ft

D.
12 ft by 6 ft by 5 ft;
8 ft by 10 ft by 3 ft

Answer 1

The answer is 8 ft by 5 ft by 6 ft; 10 ft by 8 ft by 3 ft

Explanation:

I just took the quiz

Answer 2

Given:
Volume of rectangular prism: width * height * length
Surface area of rectangular prism : 2(wl + hl + lw)

A.
8 ft by 5 ft by 6 ft; ⇒ V = 240 ; S.A = 236
5 ft by 6 ft by 8 ft; ⇒ V = 240 ; S.A = 236

B.
8 ft by 5 ft by 6 ft; ⇒ V = 240 ; S.A. = 236
10 ft by 8 ft by 3 ft ⇒ V = 240 ; S.A = 268
THIS IS THE ANSWER. SAME VOLUME: DIFFERENT SURFACE AREA.

C.
15 ft by 8 ft by 2 ft; ⇒ V = 240 ; S.A = 332
6 ft by 4 ft by 15 ft ⇒ V = 360 ; S.A = 348

D.
12 ft by 6 ft by 5 ft; ⇒ V = 360 ; SA = 324
8 ft by 10 ft by 3 ft ⇒ V = 240 ; SA = 268