Volume & Surface Area Of Regular Objects Practice 1
This section includes four carefully selected practice questions designed to strengthen students’ understanding of volume calculations using the base area × height method, while reinforcing correct application of formulas and problem-solving techniques.
Related Lessons:
Practice 1 - Question 1
The above solid cube of length 10cm has “square through holes” of length 2cm in the centre of every face of the cube. Find the volume of the object.
Practice 1 - Question 2
The figure above shows an open metal cylindrical container. The external height of the container is 15cm and the internal depth of the container is 12cm. The thickness of the container is 2cm. The container can hold 700\(cm^3\) of liquid. Find
- the internal radius of the container
- the volume of metal required to make the container
Practice 1 - Question 3
A swimming pool, 45m long and 20m wide, is 4.5m deep at one end and 1.5m deep at the other end. The floor of the pool slopes uniformly. A cross-section of the pool is shown below. Find the volume of water when the swimming pool is filled.
Practice 1 - Question 4
The diagram shows a composite prism. Its base area is made up of a semicircle of radius 3cm, a rectangle and a triangle. Calculate the
- across-sectional area of the prism
- perimeter of the cross-sectional area of the prism,
- volume of the prism,
- total surface area of the prism.