Volume and Capacity Problems

Master Ryan introduces a lesson on solving word problems involving the volume of cubes and cuboids. The video reviews formulas for calculating volume and provides several examples, including calculating the volume of a rectangular tank, finding the height of water in a tank using base area, and determining the capacity of a water pit and fish tank. The lesson concludes with a practice problem to reinforce learning.

What is the formula for calculating the volume of a cube?

• Length x Width x Height

• Length x Length x Length

• Width x Width x Width

• Height x Height x Height

How many square faces does a cube have?

• Five

• Eight

• Six

• Four

In Example 1, what is the volume of water in the tank in liters?

• 1260 liters

• 1.26 liters

• 12.6 liters

• 126 liters

What is the base area of the tank in Example 2?

• 25 square meters

• 10 square meters

• 15 square meters

• 20 square meters

In Example 2, what is the height of the water level in the tank?

• 7.08 meters

• 8.07 meters

• 8.7 meters

• 7.8 meters

What is the capacity of the big cuboid in Example 3?

• 96,000 cubic millimeters

• 24,000 cubic millimeters

• 48,000 cubic millimeters

• 72,000 cubic millimeters

In Example 3, what is the capacity of the small cuboid?

• 48,000 cubic millimeters

• 36,000 cubic millimeters

• 24,000 cubic millimeters

• 12,000 cubic millimeters

What is the total capacity of the fish tank in Example 4?

• 1024 cubic inches

• 992 cubic inches

• 1152 cubic inches

• 864 cubic inches

In the practice problem, how long does it take to fill the tank to the brim?

• 15 minutes

• 20 minutes

• 30 minutes

• 45 minutes

What is the height of the tank in the practice problem?

• 60 cm

• 70 cm

• 90 cm

• 80 cm