Volume and surface area questions and answers

Worked solution

1. $5 \times 4 \times 3 = 60$ cm³

Worked solution

1. $2(5 \times 4 + 5 \times 3 + 4 \times 3) = 2(20 + 15 + 12) = 94$ cm²

Worked solution

1. $12 \times 10 = 120$ cm³

Worked solution

1. $\pi \times 9 \times 10 = 90\pi = 282.74\ldots$

Worked solution

1. $2\pi \times 9 = 18\pi$
2. $2\pi \times 3 \times 10 = 60\pi$
3. $78\pi = 245.04\ldots \approx 245$ cm²

Worked solution

1. $\tfrac{4}{3} \times \pi \times 216 = 288\pi = 904.77\ldots$

Worked solution

1. $\tfrac{1}{3} \times \pi \times 9 \times 4 = 12\pi = 37.69\ldots$

Worked solution

1. $h = \dfrac{500}{25\pi} = 6.366\ldots \approx 6.37$ cm