Surface Area of Prisms

Front

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

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Tags

CCSS.7.G.B.6

Front

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

Back

Surface Area = bh + l1h + l2h + l3h, where b = base, h = height of the triangle, l1, l2, l3 = lengths of the triangular sides.

Tags

CCSS.7.G.B.6

Front

How do you calculate the surface area of a cube?

Back

Surface Area = 6s², where s = length of a side.

Tags

CCSS.6.G.A.4

Front

What is the total surface area of a prism?

Back

The total surface area is the sum of the areas of all the faces of the prism.

Tags

CCSS.7.G.B.6

Front

If a rectangular prism has a length of 5 cm, width of 3 cm, and height of 4 cm, what is its surface area?

Back

Surface Area = 2(5*3 + 5*4 + 3*4) = 2(15 + 20 + 12) = 2(47) = 94 cm².

Tags

CCSS.7.G.B.6

Front

What is the surface area of a triangular prism with a base of 6 cm, height of 4 cm, and slant height of 5 cm?

Back

Surface Area = (1/2 * base * height) + (perimeter of base * height) = (1/2 * 6 * 4) + (6 + 5 + 5) * height.

Tags

CCSS.7.G.B.6

Front

What is the surface area of a cube with a side length of 12 m?

Back

Surface Area = 6 * (12 m)² = 6 * 144 m² = 864 m².

Tags

CCSS.6.G.A.4

Front

What is the perimeter of the base of a triangular prism?

Back

The perimeter of the base is the sum of the lengths of all three sides of the triangle.

Tags

CCSS.7.G.B.6

Front

How do you find the surface area of a cylinder?

Back

Surface Area = 2πr² + 2πrh, where r = radius and h = height.

Front

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

Back

Lateral surface area is the area of the sides of the prism, while total surface area includes the bases.

Tags

CCSS.7.G.B.6