Question

This zigzag crystal vase has a height of 12 inches. The cross sections parallel to the

base are always rectangles that are 5 inches wide by 4 inches long.

(a) If we assume the crystal itself has no thickness, what would be the volume of the

base?

A cubic inches

(b) The crystal is actually half an inch thick on each of the sides and on the bottom.

Approximately how much space is contained within the vase?

A cubic inches

Answer 1

The volume of the vase when the crystal itself has no thickness will be 240 inches³.

How to calculate the volume?

The volume of the vase when the crystal itself has no thickness will be calculated thus:

V = Bh

V = (4in × 5in) × 12

V = 240 inches³

When the crystal is half an inch thick on each of the sides and on the bottom, the volume will be:

= 1/2 × 240 inches ³

= 120 inches³

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