NCERT Solutions For Class 9 Math | Exercise 13.5

Exercise 13.5 of class 9 NCERT math text book comprises 9 questions. This exercise focuses on volume of cubes and cuboids. Detailed explanation has been provided for all the questions. Video solution has been provided for questions 8 and 9.

What is the formula for Volume of cube? What is the formula for Volume of cuboid?

The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.
The formula to compute the volume of cuboid is l × b × h; where l, b, and h are the length, breadth and height of the cuboid respectively.

1. Question 1

   A matchbox measures 4 cm x 2.5 cm x 1.5 cm. What will be the volume of the packet containing 12 such boxes?

   Explanation

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2. Question 2

   A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1m³ = 1000 l)

   Explanation

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3. Question 3

   A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?

   Explanation

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4. Question 4

   Find the cost of digging a cuboidal pit 8 m long, 6 m broad and 3 m deep at the rate of Rs.30 per m³.

   Explanation

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5. Question 5

   The capacity of the cuboidal tank is 50000 litres of water. Find the breadth of the tank if its length and depth are respectively 2.5 m and 10 m.

   Explanation

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6. Question 6

   A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m x 15 m x 6 m. For how many days will the water of this tank last?

   Explanation

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7. Question 7

   A godown measures 40 m × 25 m × 15 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.

   Explanation

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8. Question 8

   A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface ratios.

   Explanation Video Solution

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9. Question 9

   A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?

   Explanation Video Solution

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Exercise 13.1 | Surface Area of Cubes & Cuboids

1. Class 9 Exercise 13.1 Question 3 | Height of hall ▶
2. Class 9 Exercise 13.1 Question 6 | TSA of Herbarium ▶
3. Class 9 Exercise 13.1 Question 7 | Shanti Sweets ▶

Exercise 13.2 | Surface Area of Cylinders

1. Class 9 Exercise 13.2 Question 3 | CSA TSA of Metal Pipe ▶
2. Class 9 Exercise 13.2 Question 4 | Roller & Playground ▶
3. Class 9 Exercise 13.2 Question 9 | Cylindrical Petrol Tank ▶
4. Class 9 Exercise 13.2 Question 10 | CSA of Decorative Lampshade ▶

Exercise 13.3 | Surface Area of Cones

1. Class 9 Exercise 13.3 Question 5 | Length of Tarpaulin 3 m wide ▶
2. Class 9 Exercise 13.3 Question 8 | Cost of painting conical barricades ▶

Exercise 13.4 | Surface Area of Spheres & Hemispheres

1. Class 9 Exercise 13.4 Question 8 | Outer CSA of hemispherical bowl ▶
2. Class 9 Exercise 13.4 Question 9 | Surface area of sphere & Cylinder ▶