Day 19: CBSE Class 10 Maths

Surface Areas and Volumes. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

Surface Areas and Volumes. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

7

A cone of maximum size is carved out from a solid cube of edge length $l$. The volume of the cone is :

1. A.
   $\dfrac{\pi l^3}{12}$
2. B.
   $\dfrac{\pi l^3}{3}$
3. C.
   $l^3\left(1 - \dfrac{\pi}{3}\right)$
4. D.
   $\dfrac{\pi l^3}{8}$

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Surface Areas and Volumes. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

29 (a)

To protect plants from heat, a shed of iron rods covered with green cloth is made. The lower part of the shed is a cuboid mounted by semi-cylinder as shown in the figure. Find the area of the cloth required to make this shed, if dimensions of the cuboid are $14\,\text{m} \times 25\,\text{m} \times 16\,\text{m}$

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Triangles. Asked 2 times: 2023, 2026

Triangles. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

22 (a)

In the given figure, $\Delta AHK \sim \Delta ABC$. If AK = 10 cm, BC = $3{\cdot}5$ cm and HK = 7 cm, find the length of AC.

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