Question

Find the volume of each rectangular solid to solve the following problems. An open tin box is constructed from a rectangular plece of tin measuring 64 cm by 36 cm. Cutting 6 cm squares from each corner then folding up the sides makes the box. What is the volume of the box? It will help to make a sketch." A) 6,912 cubic cm B) 7,488 cubic cm C) 12,078 cubic cm D) 13,824 cubic cm

Answer 1

ANSWER

B) 7,488 cubic cm

EXPLANATION

We can make a diagram that will help understand this problem better:

The sides of the rectangle are 64cm and 36cm. It is said that we have to cut 6cm squares from each corner, therefore from those dimensions se have to subtract 12cm (6cm from each side). In the end, we have the box shown in the picture above. The volume is:

$V=24cm\times52\operatorname{cm}\times6\operatorname{cm}=7,488\operatorname{cm}^3$