Day 48: CBSE Class 10 Maths

Statistics. This type asked 3 times: 2022, 2025, 2026. This one: 2026

Surface Areas and Volumes. This type asked 3 times: 2022, 2024, 2026. This one: 2022

4 (b)

Three cubes of side 6 cm each, are joined as shown in Figure 1. Find the total surface area of the resulting cuboid.

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Surface Areas and Volumes. This type asked 3 times: 2023, 2025, 2026. This one: 2026

25

A toy is in the form of a cone mounted on a hemisphere of radius 7 cm. The total height of the toy is 31 cm. Find the total surface area of the toy.

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Surface Areas and Volumes. This type asked 3 times: 2024, 2025, 2026. This one: 2026

7

A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use $\pi = 3.14$)

1. A.
   $314\sqrt{2}\,\text{cm}^2$
2. B.
   $314\,\text{cm}^2$
3. C.
   $\dfrac{3140}{3}\,\text{cm}^2$
4. D.
   $3140\sqrt{2}\,\text{cm}^2$

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Triangles. This type asked 3 times: 2023, 2024, 2026. This one: 2026

15

In the given figure, $PQ \parallel YZ$ such that XP : PY = 2 : 3. If PQ = 5 cm, then YZ equals

1. A.
   $12.5$ cm
2. B.
   $10$ cm
3. C.
   $15$ cm
4. D.
   $7.5$ cm

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