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Question 8: A verandah is 4m long and 3m wide. A truck is 3m long, 2m wide and 1m high. a) How many m2 of bricks are needed for the verandah? b) How many m3 of sand can the truck hold?

Mathematics

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Answers

2 parts
a

12 m2\text{12 m}^2

b

6 m3\text{6 m}^3

Step-by-step solution

6 steps

Here's the solution for question 8:

Part a· 3 steps

  1. Identify the dimensions of the verandah.

    The length of the verandah is 4 m and the breadth (width) is 3 m.

  2. Use the formula for the area of a rectangle.

    The area AA of a rectangle is given by A=length×breadthA = \text{length} \times \text{breadth}.

  3. Substitute the values and calculate the area.

    A=4 m×3 mA = 4 \text{ m} \times 3 \text{ m} A=12 m2A = 12 \text{ m}^2

    Mr Tladi needs 12 m2\boxed{\text{12 m}^2} of bricks.

Part b

6 m3\text{6 m}^3

  1. Identify the dimensions of the truck.

    The truck measures 3 m by 2 m by 1 m. These are the length, width, and height.

  2. Use the formula for the volume of a rectangular prism.

    The volume VV of a rectangular prism is given by V=length×width×heightV = \text{length} \times \text{width} \times \text{height}.

  3. Substitute the values and calculate the volume.

    V=3 m×2 m×1 mV = 3 \text{ m} \times 2 \text{ m} \times 1 \text{ m} V=6 m3V = 6 \text{ m}^3

    The truck can hold 6 m3\boxed{\text{6 m}^3} of sand.

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