Mensurationhard · Past Paper
A solid cube is cut into two equal halves by a plane parallel to one of its faces. Find the ratio of the total surface area of one half to the original cube.
A1:2
B2:3
C3:4
D4:5
✓ Correct Answer: B — 2:3
Cube TSA = 6a². Half (cuboid a x a x a/2) TSA = 2(a² + a²/2 + a²/2) = 2(2a²) = 4a². Ratio = 4:6 = 2:3.
Share this question
More from Mensuration
- Calculate the area of a triangle with a base of 20 cm and a height of 15 cm.
- Calculate the area of the ring between two concentric circles of radii 10 cm and 7 cm.
- The area of a trapezium is 105 sq. cm and its height is 7 cm. If one of the parallel sides is 12 cm, find the other.
- Find the area of a quadrant of a circle whose radius is 7 cm.
- The perimeter of a square is 20 cm. Find its area.