Nets and Surface Area of Rectangular Prisms

Front

What is a net in geometry?

Back

A net is a two-dimensional representation of a three-dimensional solid, created by cutting and unfolding the solid along its edges.

Tags

CCSS.6.G.A.4

Front

What 3D solid does a net create when folded?

Back

A rectangular prism.

Tags

CCSS.6.G.A.4

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

Why is it important to find the surface area of an object?

Back

Finding the surface area is important for determining how much material is needed to cover the object, such as paint or wrapping paper.

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

How do you find the surface area of a rectangular prism?

Back

To find the surface area, calculate the area of each face and sum them up, or use the formula Surface Area = 2(lw + lh + wh).

Tags

CCSS.7.G.B.6

Front

What is the surface area of a rectangular prism with a length of 12 m, width of 4 m, and height of 3 m?

Back

Surface Area = 2(12*4 + 12*3 + 4*3) = 2(48 + 36 + 12) = 2(96) = 192 m².

Tags

CCSS.7.G.B.6

Front

What is the significance of units in surface area calculations?

Back

Units are crucial in surface area calculations as they indicate the measurement scale, such as cm² or m², and ensure accuracy in real-world applications.

Front

What is the surface area of a rectangular prism with dimensions 5 cm, 7 cm, and 10 cm?

Back

Surface Area = 2(5*7 + 5*10 + 7*10) = 2(35 + 50 + 70) = 2(155) = 310 cm².

Tags

CCSS.7.G.B.6

Front

How does changing the dimensions of a rectangular prism affect its surface area?

Back

Changing the dimensions of a rectangular prism will change its surface area; increasing any dimension will generally increase the surface area.

Tags

CCSS.7.G.B.6