Follow the rules for working with measurements. A concrete product is being designed. It is a cube 8 ft on a side. To reduce the weight of the final product, it will be "voided" using a cardboard box. If 4 in. of concrete must be maintained and there is no concrete on the bottom, find the dimensions needed for the drawing of the cardboard box.
A) 7' 8" $ ×$ 7' 5" $ ×$ 7' 8"
B) 7' 6" $ ×$ 7' 4" $ ×$ 7' 8"
C) 7' 4" $ ×$ 7' 4" $ ×$ 7' 8"
D) 7' 6" $ ×$ 10' 4" $ ×$ 7' 8"
E) 7' 4" $ ×$ 10' 4" $ ×$ 7' 8"

Question

Follow the rules for working with measurements. A concrete product is being designed. It is a cube 8 ft on a side. To reduce the weight of the final product, it will be "voided" using a cardboard box. If 4 in. of concrete must be maintained and there is no concrete on the bottom, find the dimensions needed for the drawing of the cardboard box.    
A) 7' 8" $ ×$ 7' 5" $ ×$ 7' 8" 
B) 7' 6" $ ×$ 7' 4" $ ×$ 7' 8" 
C) 7' 4" $ ×$ 7' 4" $ ×$ 7' 8" 
D) 7' 6" $ ×$ 10' 4" $ ×$ 7' 8" 
E) 7' 4" $ ×$ 10' 4" $ ×$ 7' 8"

Quizplus · Accepted Answer

The drawing of the cardboard box needs to be slightly smaller than the dimensions of the concrete cube in order to fit properly. Since 4 inches of concrete must be maintained, we need to subtract twice that amount from each dimension of the cube. Therefore, the dimensions of the cardboard box should be 7' 4" on each side (8 ft - 8 in = 7' 4") and the height should be equal to the height of the cube, which is 7' 8". This gives us choice C as the correct answer.

Follow the Rules for Working with Measurements × ×× 7' 5 × ××

Follow the Rules for Working with Measurements $×$ 7' 5 $×$