Question

Please help with the question below (also please explain and answer all 7 boxes).

Answer 1

Given:

The length of the blue prism is 5 cm.

The width of the blue prism is 5 cm.

The height of the blue prism is 6 cm.

Required:

We need to find the surface area of the blue prism.

Step-by-step explanation:

Consider the front side of the blue prism.

The front side is a rectangle with length l =5 cm and breadth b=6cm.

The area of the rectangle is

`front=lb`

Substitute l=5 and b=6 in the formula.

`front=5*6`
`front=30cm^2`

Consider the back side of the blue prism.

The back side is a rectangle with length l =5 cm and breadth b=6cm.

We know that the area of the front side of the perism is same as the back side of the prism.

`back=30cm^2`

Consider the right side of the blue prism.

The right side is a rectangle with length l =5 cm and breadth b=6cm.

The area of the rectangle is

`right=lb`

Substitute l=5 and b=6 in the formula.

`right=5*6`
`right=30cm^2`

Consider the left side of the blue prism.

The left side is a rectangle with length l =5 cm and breadth b=6cm.

We know that the area of the left side of the perism is same as the right side of the prism.

`left=30cm^2`

Consider the bottom side of the blue prism.

The bottom side is a sqaure with side a=5cm.

The area of the square is

`bottom=a^2`

Substitute a =5 in the formula.

`bottom=5^2`
`bottom=25cm^2`

Consider the top side of the blue prism.

The top side is a sqaure with side a=5cm.

The area of the top of the blue perism is 25 square cm

The area of the bottom of the yellow prism 9 square cm.

`Top=25-9=16cm^2`
`Total=30+30+30+30+25+16`

Final answer:

Sureface area of the blue prism is

`Total\text{ =161cm}^2`