Question

Jimmy bought a box of sweets, of dimensions as given below. The shop gave a complimentary box of sweets, 1/4 of the dimensions of the original box. What is the total volume of the two boxes?

• A. 360.448 cu in
• B. 366.08 cu in
• C. 482.976 cu in
• D. 260.640 cu in

Answer 1

The correct option is B

366.08 cu in

The given box is



The given box is in the shape of a rectangular prism.

Volume of the box = length$\times$width$\times$height

Length of the big sweets box = 10.24 in

Width of the big sweets box = 4.4 in

Height of the big sweets box = 8 in

Volume of the big sweets box = length$\times$width$\times$height

= 10.24 $\times$4.4$\times$8 = 360.448 cu in

Length of the small sweets box = $\frac{1}{4}$$\times$10.24 = 2.56 in

Width of the small sweets box = $\frac{1}{4}$$\times$ 4.4 = 1.1 in

Height of the small sweets box = $\frac{1}{4}$$\times$8 in = 2 in

Volume of the small sweets box = length$\times$width$\times$height

= 2.56 $\times$1.1 $\times$ 2 = 5.632 cu in

Total volume of the boxes = volume of big box + volume of small box

= 360.448 + 5.632 = 366.080 cu in

Hence, the total volume of the boxes = 366.080 cu in