Question

The dimensions of a small juice box are 11 cm by 4 cm by 7 cm. The super-size juice box has the same height of 11 cm but double the volume. Give two sets of the possible dimensions of the super-size juice box and the volume.

Answer 1

Two sets of the dimensions may be 4cm×14cm×11cm or 7cm×8cm×11cm and the volume will be 616 cm³.

Explanation:

Dimensions of a small juice box are 11cm×4cm×7cm.

Volume of the small juice box = 11×4×7 = 308 cm³

Height of the super size juice box is same as small juice box but volume is double.

Let length and width of the super size juice box are x and y cm.

So volume = 11xy cm³ = 2(Volume of small juice box)

11xy = 2×308

xy =
`(2* 308)/(11)`

xy = 56

Therefore, two sets of the dimensions may be 4cm×14cm×11cm or 7cm×8cm×11cm and the volume will be 616 cm³.