Class 9 Volume and Surface Area of Solids Mock Test (ICSE)

Topics in Volume and Surface Area of Solids

• Surface area and volume of cube and cuboid
• Cross-section of solids
• Problems on capacity and conversion of units

Volume and Surface Area of Solids practice questions with answers

1. Q1Multiple choice·1 mark
   A uniform cross-section of a solid is a $5\text{ cm} \times 4\text{ cm}$ rectangle. If the length of the solid is $10\text{ cm}$, what is its volume?

   1. (a)$18\text{ cm}^3$
   2. (b)$200\text{ cm}^3$
   3. (c)$100\text{ cm}^3$
   4. (d)$40\text{ cm}^3$
   Show answer and step marks

   1. Correct option: (b) $200\text{ cm}^3$+1

   Answer: (b)
2. Q2Multiple choice·1 mark
   A solid cylinder has a circular cross-section of radius $7\text{ cm}$ and a height of $10\text{ cm}$. What is the area of its cross-section? (Take $\pi = \frac{22}{7}$)

   1. (a)$308\text{ cm}^2$
   2. (b)$220\text{ cm}^2$
   3. (c)$154\text{ cm}^2$
   4. (d)$44\text{ cm}^2$
   Show answer and step marks

   1. Correct option: (c) $154\text{ cm}^2$+1

   Answer: (c)
3. Q3Multiple choice·1 mark
   How many litres of water can a rectangular tank of dimensions $2\text{ m} \times 1.5\text{ m} \times 1\text{ m}$ hold? ($1\text{ m}^3 = 1000\text{ litres}$)

   1. (a)$30\text{ litres}$
   2. (b)$3000\text{ litres}$
   3. (c)$30000\text{ litres}$
   4. (d)$300\text{ litres}$
   Show answer and step marks

   1. Correct option: (b) $3000\text{ litres}$+1

   Answer: (b)
4. Q4Multiple choice·1 mark
   If the total surface area of a cube is $216\text{ cm}^2$, find its volume.

   1. (a)$343\text{ cm}^3$
   2. (b)$216\text{ cm}^3$
   3. (c)$64\text{ cm}^3$
   4. (d)$125\text{ cm}^3$
   Show answer and step marks

   1. Correct option: (b) $216\text{ cm}^3$+1

   Answer: (b)

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