Question:
Identify the number of surfaces in the problem figure.
Identify the number of surfaces in the problem figure.
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Count the exposed faces of each solid separately and leave out the faces that rest on the ground or are joined to another solid.
Updated On: Nov 12, 2026
- 24
- 25
- 23
- 20
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The figure is a square base plate carrying a tall block with a small bar on top, a house-shaped prism and a triangular prism.
Base plate (a cuboid resting on the ground): top and four sides = 5 surfaces (the bottom is on the ground).
Tall block (cuboid): top and four sides = 5 surfaces (its bottom is joined to the plate).
Small bar on top of the block (cuboid): top and four sides = 5 surfaces.
House-shaped prism (pentagonal prism): two pentagonal ends, two walls and two roof slopes = 6 surfaces (the floor is joined to the plate).
Triangular prism: one top triangle and three sides = 4 surfaces (the bottom triangle is joined to the plate).
Total = 5 + 5 + 5 + 6 + 4 = 25.
Answer: (2) 25
Base plate (a cuboid resting on the ground): top and four sides = 5 surfaces (the bottom is on the ground).
Tall block (cuboid): top and four sides = 5 surfaces (its bottom is joined to the plate).
Small bar on top of the block (cuboid): top and four sides = 5 surfaces.
House-shaped prism (pentagonal prism): two pentagonal ends, two walls and two roof slopes = 6 surfaces (the floor is joined to the plate).
Triangular prism: one top triangle and three sides = 4 surfaces (the bottom triangle is joined to the plate).
Total = 5 + 5 + 5 + 6 + 4 = 25.
Answer: (2) 25
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