Volume and Surface Area of Rectangular and Triangular 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 volume of a rectangular prism?

Back

Volume = l × w × h, 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

What is the formula for the volume of a triangular prism?

Back

Volume = (1/2) × b × h × L, where b = base of the triangle, h = height of the triangle, L = length of the prism.

Tags

CCSS.7.G.B.6

Front

How do you calculate the total surface area of a prism?

Back

Add the areas of all the faces of the prism.

Tags

CCSS.7.G.B.6

Front

What is the surface area of a rectangular prism with dimensions 5 cm, 8 cm, and 10 cm?

Back

Surface Area = 2(5*8 + 5*10 + 8*10) = 2(40 + 50 + 80) = 2(170) = 340 cm².

Tags

CCSS.7.G.B.6

Front

What is the volume of a rectangular prism with dimensions 5 cm, 8 cm, and 10 cm?

Back

Volume = 5 × 8 × 10 = 400 cm³.

Tags

CCSS.7.G.B.6

Front

If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 2 cm, what is its volume?

Back

Volume = 4 × 3 × 2 = 24 cm³.

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 length of 10 cm?

Back

Surface Area = 6*4 + 6*10 + 4*10 + 6*10 = 24 + 60 + 40 + 60 = 184 cm².

Tags

CCSS.7.G.B.6

Front

How much gift wrap is needed for a rectangular prism measuring 5 inches long, 8 inches wide, and 10 inches tall?

Back

Surface Area = 2(5*8 + 5*10 + 8*10) = 340 in².

Tags

CCSS.7.G.B.6