Calculating Volume of Prisms

This video tutorial explains how to calculate the volume of various prisms using the formula: volume equals cross-sectional area multiplied by length. The instructor provides examples with different shapes, including triangular, trapezoidal, and cylindrical prisms, demonstrating the application of the formula and emphasizing the importance of unit consistency. The video aims to equip students with the skills to apply this formula in their GCSE exams.

What is the formula to calculate the volume of a prism?

• Volume = Cross-sectional area / Length

• Volume = Cross-sectional area - Length

• Volume = Cross-sectional area + Length

• Volume = Cross-sectional area * Length

Tags

CCSS.7.G.B.6

In the context of prisms, what does the cross-sectional area represent?

• The perimeter of the prism's base

• The shape formed when the prism is cut through its length

• The shape formed at the base of the prism

• The total surface area of the prism

Tags

CCSS.7.G.A.3

How do you calculate the area of a triangle?

• Base + Height

• Base * Height

• 2 * Base * Height

• 1/2 * Base * Height

Tags

CCSS.6.G.A.1

What is the volume of a prism with a triangular cross-section of 18 cm² and length 8 cm?

• 216 cm³

• 26 cm³

• 144 cm³

• 72 cm³

Tags

CCSS.7.G.B.6

What formula is used to calculate the area of a trapezium?

• a * b * h

• h / (a + b)

• 1/2 * (a + b) * h

• (a + b) / h

Tags

CCSS.6.G.A.1

What is the volume of a trapezoidal prism with a cross-sectional area of 87.5 m² and length 4 m?

• 175 m³

• 87.5 m³

• 350 m³

• 43.75 m³

Tags

CCSS.7.G.B.6

Why is it important to pay attention to units when calculating volume?

• To ensure accuracy in measurement

• Units do not affect the calculation

• To use the correct formula

• To make the calculation easier

Tags

CCSS.3.MD.A.2

How do you find the radius of a circle if the diameter is given?

• Divide the diameter by 2

• Multiply the diameter by π

• Multiply the diameter by 2

• Divide the diameter by π

Tags

CCSS.7.G.B.4

What is the area of a circle with a radius of 4 cm?

• 50.27 cm²

• 25.13 cm²

• 100.54 cm²

• 75.40 cm²

Tags

CCSS.7.G.B.4

What is the volume of a cylindrical prism with a cross-sectional area of 50.27 cm² and length 10 cm?

• 250.27 cm³

• 752.7 cm³

• 100.54 cm³

• 502.7 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3