Volume and Area Calculations

The video tutorial from Xcelerate Maths covers the concept of volume, explaining how to calculate the volume of various prisms, including cubes, rectangular prisms, triangular prisms, cylinders, and trapezoidal prisms. It provides step-by-step instructions for each shape, using formulas to find the area of the base and then multiplying by the height to find the volume. The tutorial also includes practical examples, such as converting cubic centimeters to milliliters and liters, and emphasizes the importance of understanding the dimensions of different shapes.

What is the volume of a single block measuring 1 cm by 1 cm by 1 cm?

• 4 cubic centimeters

• 1 cubic centimeter

• 3 cubic centimeters

• 2 cubic centimeters

Which of the following is NOT a characteristic of a prism?

• Both ends have the same shape

• It is a two-dimensional shape

• It is a three-dimensional solid

• Both ends are of the same size

Which of the following is a characteristic of a prism?

• It has the same shape at both ends

• It is a two-dimensional shape

• It is always a cube

• It has different shapes at both ends

How do you calculate the area of a square?

• Pi times radius squared

• Base multiplied by height

• Side multiplied by side

• Length multiplied by width

What is the volume of a cube with a side length of 3 cm?

• 18 cubic centimeters

• 9 cubic centimeters

• 36 cubic centimeters

• 27 cubic centimeters

What is the volume of a cube with a side length of 4 cm?

• 128 cubic centimeters

• 64 cubic centimeters

• 32 cubic centimeters

• 16 cubic centimeters

How do you calculate the area of a rectangle?

• Pi times radius squared

• Length multiplied by width

• Side multiplied by side

• Base multiplied by height

What is the volume of a rectangular prism with dimensions 40 cm by 30 cm by 20 cm?

• 48,000 cubic centimeters

• 36,000 cubic centimeters

• 24,000 cubic centimeters

• 12,000 cubic centimeters

How many milliliters are in 24,000 cubic centimeters?

• 24 milliliters

• 240 milliliters

• 24,000 milliliters

• 2,400 milliliters

How do you convert cubic centimeters to milliliters?

• 1 cubic centimeter equals 1 milliliter

• Multiply by 1000

• Multiply by 10

• Divide by 10