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
- the volume of sand in the box.
- 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
- volume
- total surface area
Practice 2 - Question 3
The trapezium shown in Figure 1 is the shaded surface of the trapezoidal prism shown in Figure 2.
- Calculate the area of the trapezium in Figure 1.
- If the volume of the prism is 160\(cm^3\), find the value of in Figure 2.
- 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.
- Find the volume of the cylinder.
- Find the height of the cylinder.
- The mass of the solid is 1.2kg. Find the density of the solid in \(g/cm^3\)
