Question

How many squares make up a cube?(1 point)
squares

Answer 1

6 squares

Answer 2

How many rectangular lateral faces does a rectangular prism have?(1 point)
rectangular lateral faces

Answer 3

4 rectangular lateral faces

Answer 4

What is the simplified formula for finding the surface area of a cube?(1 point)
A=

Answer 5

A = 6s^2

Where:
A = Surface area
s = Side length of the cube

Answer 6

Use the image to answer the question.

An illustration shows a rectangular prism with length 10 inches, width 9 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.

What is the surface area of the rectangular prism?

(1 point)
square inches

Answer 7

To find the surface area of a rectangular prism, we need to calculate the area of all its individual faces and then add them up.

The rectangular prism has 6 faces:
- Two faces with dimensions 10 inches by 9 inches: 10 * 9 = 90 square inches each (top and bottom)
- Two faces with dimensions 10 inches by 3 inches: 10 * 3 = 30 square inches each (front and back)
- Two faces with dimensions 9 inches by 3 inches: 9 * 3 = 27 square inches each (right and left)

Adding them up:
Surface area = 2(10 * 9) + 2(10 * 3) + 2(9 * 3)
Surface area = 2(90) + 2(30) + 2(27)
Surface area = 180 + 60 + 54
Surface area = 294 square inches

Therefore, the surface area of the rectangular prism is 294 square inches.

Answer 8

What is the missing width of a rectangular prism with a length of 6 cm, a height of 4 cm, and a surface area of 188 cm2 ?(1 point)
cm

Answer 9

To find the missing width of the rectangular prism, we can use the formula for the surface area of a rectangular prism:

Surface Area = 2lw + 2lh + 2wh

Given:
Length (l) = 6 cm
Height (h) = 4 cm
Surface Area = 188 cm^2

Substitute the values into the formula:
188 = 2(6w) + 2(6*4) + 2(4w)
188 = 12w + 48 + 8w
188 = 20w + 48
20w = 188 - 48
20w = 140
w = 140 / 20
w = 7

Therefore, the missing width of the rectangular prism is 7 cm.