Question

The treasure chest below is a prism with a cross-section formed of a rectangle and a semi-circle.

Work out the volume of the treasure chest.
If your answer is a decimal, give it to 2 d.p.

Answer 1

The volume of the treasure chest is 0.72π + 0.864 cubic meters.

how to find the volume of the treasure chest:

Steps to solve

`$$V=0.8 \cdot 1.8\left(0.5\pi+0.6\right)$$`

2. Multiply the numbers:

`$$V=1.44\left(0.5\pi+0.6\right)$$`

3. Distribute:

`$$V=0.72\pi+0.864$$`

`$$V=0.72\pi+0.864$$`

The volume of the treasure chest is 0.72π + 0.864 cubic meters.