Review: Speed and Volume

A plane flies 800 kilometers in 2 hours. What is its speed in kilometers per hour?

• 200 km/h

• 250 km/h

• 300 km/h

• 400 km/h

Answer explanation

800 km ÷ 2 = 400 km/h

If a car drives at a speed of 80 kilometers per hour, how far can it travel in 6 hours?

• 230 km

• 480 km

• 500 km

• 630 km

Answer explanation

80 km × 6 = 480 km

If a runner runs 5 kilometers in 30 minutes, what is his speed in kilometers per hour?

• 10 km/h

• 2.5 km/h

• 20 km/h

• 6 km/h

Answer explanation

1 hour = two 30 minutes

5 km / 30 min

5 km / 30 min

= 10 km/h

If a cyclist rides 12 kilometers in 45 minutes, what is his speed in kilometers per hour?

• 10 km/h

• 15 km/h

• 16 km/h

• 30 km/h

Answer explanation

12 km in 45 min

Divide all by 3

4 km in 15 min

= 12 + 4 = 16 km

A cuboid has a length of 6 cm and a width of 8 cm. If its volume is 240 cm³, what is its height?

• 2 cm

• 3 cm

• 4 cm

• 5 cm

Answer explanation

240 cm³ ÷ (6 × 8)

= 5 cm

A cube has a volume of 125 cm³. What is the length of each edge?

• 4 cm

• 5 cm

• 10 cm

• 12 cm

Answer explanation

Find the cube root of 125.

³√125 = 5

A cuboid has a base area of 18 cm² and a height of 5 cm. What is its volume?

• 75 cm³

• 80 cm³

• 90 cm³

• 95 cm³

Answer explanation

Multiply 18 and 5 since 18 (as the base area has already multiplied its length and width). All you need to do now is to multiply by its height to get the volume.

18 × 5 = 90 cm³

Also,

-- 90 (volume) ÷ 18 (area) = 5 (height)

-- 90 (volume) ÷ 5 (height) = 18 (area)

A square face of a cube has an area of 64 cm². What is the volume of the cube?

• 418 cm³

• 512 cm³

• 1920 cm³

• 4096 cm³

Answer explanation

Get the √64, which is equal to 8.

Then get the volume of the cube.

8 × 8 × 8 = 512 cm³

What is the value of ³√27?

• 3

• 5

• 7

• 9

Answer explanation

3 × 3 × 3 = 27

So, ³√27 = 3

Simplify √225.

• 11

• 13

• 15

• 18

Answer explanation

15 × 15 = 225

So, √225 = 15