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

Verified Answer :

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 

Answer:

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

Step-by-step explanation:

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