Question

Anna has a box of powdered dishwasher detergent. The box is shaped like a rectangular prism with a total volume of 126 cubic inches. The box is only partly full of detergent, as represented by the shaded part of the model.



What is the volume in cubic inches of the dishwasher detergent in the box?


70 cubic inches
70 cubic inches

56 cubic inches
56 cubic inches

63 cubic inches
63 cubic inches

14 cubic inches

Answer 1

Answer:

volume where there is no detergent=7×2×5=70cubic inch

volume of dishwasher detergent= total-70=126-70=56 cubic inch

Answer 2

Answer:

Volume of cuboid = l.b.h

Total volume of box =126 cubic inches

volume of part of box empty =

$7 \times 5 \times 2 = 70 \: inches ^{3}$

Volume of detergent in box =Total volume of box - Volume of box that is empty.

Volume of detergent in box = 126-70 = 56 cubic inches