Grade 8 Volume Quiz 1 draws its questions at random from 13 questions across these topics:
A few of the question types, with full solutions, so you know what to expect.
Cubes & Cuboids. Calculate the volume of a cube with sides of 6 cm.
Answer: 216 cm³
Volume of a cube: \( V = x^3 \).
\( V = 6^3 = 6 \times 6 \times 6 \)
Cubes & Cuboids. Calculate the surface area of a cube with sides of 4 cm.
Answer: 96 cm²
Surface area of a cube: \( SA = 6x^2 \) — six identical square faces.
\( SA = 6 \times 4^2 = 6 \times 16 \)
Cubes & Cuboids. Calculate the volume of a cuboid 5 m long, 3 m wide and 2 m high.
Answer: 30 m³
Volume of a cuboid: \( V = l \times b \times h \).
\( V = 5 \times 3 \times 2 \)
Cubes & Cuboids. Calculate the volume of this cuboid.
Answer: 96 cm³
Volume of a cuboid: \( V = l \times b \times h \).
\( V = 6 \times 8 \times 2 \)
Cubes & Cuboids. Calculate the total surface area of this cuboid.
Answer: 152 cm²
Add up all 3 pairs of identical faces: \( SA = 2(lb + lh + bh) \).
\( SA = 2(6{\times}8) + 2(6{\times}2) + 2(8{\times}2) = 96 + 24 + 32 \)