Volume & Surface Area Of Regular Objects Practice 2

This section features four structured practice questions that guide students in applying the volume concept using base area × height. The questions are designed to reinforce key rules, build confidence, and improve accuracy through focused application.

Practice 2 - Question 1

The diagram above shows a rectangular open cardboard box-which measures 20cm by 30cm by 3cm. The open box is filled with sand. Calculate
  1. the volume of sand in the box.
  2. the area of the cardboard in contact with sand

Practice 2 - Question 2

The picture above shows a Qing Dynasty coin during Kang Xi’s reign. It has a circular cross-section area with a square hole. It has a uniform thickness of 2mm and its outermost diameter is 25 mm. The square hole is 5 mm by 5 mm. Find its
  1. volume
  2. total surface area
(Take π to be 3.14, and round off your answers to the nearest integer)

Practice 2 - Question 3

The trapezium shown in Figure 1 is the shaded surface of the trapezoidal prism shown in Figure 2.
  1. Calculate the area of the trapezium in Figure 1.
  2. If the volume of the prism is 160\(cm^3\), find the value of in Figure 2.
  3. Calculate the total surface area of the prism.

Practice 2 - Question 4

A solid prism whose cross section is a trapezium is moulded into a solid cylinder of radius 10cm. All dimensions given in the diagram are in centimetres.
  1. Find the volume of the cylinder.
  2. Find the height of the cylinder.
  3. The mass of the solid is 1.2kg. Find the density of the solid in \(g/cm^3\)
(Take π= 3.14 )
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