Area and Volume Problems (Junior Cert Mathematics): Quizzes

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What formula calculates the volume of a rectangular block?

Length×Width×Height\text{Length} \times \text{Width} \times \text{Height}

What is the volume of a wax block measuring 3535 cm by 4545 cm by 1616 cm?

25,20025,200 cm³

What is the formula for the volume of a cylinder?

πr2h\pi r^2 h

What is the volume of a cylindrical candle with radius rr cm and height 99 cm?

9πr29\pi r^2 cm³

If 1010% of 25,20025,200 cm³ of wax is wasted, how much is wasted?

2,5202,520 cm³

What volume of wax is usable after 1010% waste from 25,20025,200 cm³?

22,68022,680 cm³

What equation represents 100100 candles of volume 9πr29\pi r^2 cm³ using 22,68022,680 cm³?

100×9πr2=22,680100 \times 9\pi r^2 = 22,680

Simplifying 100×9πr2=22,680100 \times 9\pi r^2 = 22,680, what is r2r^2 approximately?

8.028.02

What is the radius rr to 11 decimal place if r28.02r^2 \approx 8.02?

2.82.8 cm

Why must you calculate part (a) before solving part (c) in this problem?

Part (c) needs the total wax volume

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