Surface Area of Prisms & Cylinders

Front

What is the formula for the surface area of a triangular prism?

Back

The surface area (SA) of a triangular prism can be calculated using the formula: SA = bh + (perimeter of the base * height), where b is the base area and h is the height of the prism.

Tags

CCSS.7.G.B.6

Front

What is the difference between lateral surface area and total surface area?

Back

Lateral surface area refers to the area of the sides of a 3D shape, excluding the top and bottom. Total surface area includes the lateral surface area plus the area of the top and bottom.

Front

How do you calculate the lateral surface area of a cylinder?

Back

The lateral surface area (LSA) of a cylinder can be calculated using the formula: LSA = 2πrh, where r is the radius and h is the height of the cylinder.

Front

What is the formula for the total surface area of a cylinder?

Back

The total surface area (TSA) of a cylinder can be calculated using the formula: TSA = 2πr(h + r), where r is the radius and h is the height.

Front

What is the surface area of a rectangular prism?

Back

The surface area (SA) of a rectangular prism can be calculated using the formula: SA = 2(lw + lh + wh), where l is the length, w is the width, and h is the height.

Tags

CCSS.7.G.B.6

Front

What is the significance of the base area in calculating the surface area of prisms?

Back

The base area is crucial as it contributes to the total surface area calculation, particularly in determining the area of the top and bottom faces of the prism.

Tags

CCSS.7.G.B.6

Front

How do you find the surface area of a prism with a polygonal base?

Back

To find the surface area of a prism with a polygonal base, calculate the area of the base, multiply by the height, and add the lateral surface area.

Tags

CCSS.7.G.B.6

Front

What units are used to measure surface area?

Back

Surface area is measured in square units, such as square inches (in²), square centimeters (cm²), or square meters (m²).

Front

What is the role of height in calculating the surface area of prisms and cylinders?

Back

Height is essential in calculating the lateral surface area and contributes to the total surface area by determining the extent of the sides of the shape.

Tags

CCSS.7.G.B.6

Front

How do you determine if a surface area problem is asking for lateral or total surface area?

Back

Identify if the problem requires only the area of the sides (lateral) or includes the top and bottom faces (total). Look for keywords like 'wrap' or 'cover' for total surface area.

Tags

CCSS.7.G.B.6