# Problems: Length and Time

**Question 1**

The figure below is a full-size diagram of a rectangular block.

**(a) **Use your rule to measure the lengths of the three sides AB, BC and CD. Write your values below, in cm, to 2 significant figures.

length of AB = ……………………. cm

length of BC = ……………………. cm

length of CD = …………………… cm

**(b) **Write down the equation you would use to calculate the volume of the block. Do **not **attempt a calculation.

**(c) **If you used your values from **(a)**, what would be the unit for the volume of the block?

**Question 2**

Some cheese purchased from a shop is supplied as the block shown in Fig

Use the information in Fig to calculate the volume of the block.

**Question 3**

**(a) **A measuring cylinder contains 100 cm^{3} of water. 20 cm^{3} of the water is poured into a beaker.

On Fig.1 mark the level of the water left in the cylinder.

**(b) **A rule, calibrated in cm, is placed alongside the measuring cylinder, as shown in Fig.2.

** (i) **What is the length of the measuring cylinder, from zero up to the 100 cm^{3} mark?

** (ii) **The volume of a cylinder is found using the equation

volume = cross-sectional area × length.

Calculate the cross-sectional area of the measuring cylinder.

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