Answer:
Hi There the correct answer to this is Asher will need c. 936 cm² paint to cover both the bookends
Explanation:
Asher will need c. 936 cm² of paint to cover both the bookends.
Explanation:
Step 1:
To determine the amount of paint needed, we determine the surface area of the triangular prisms.
To you need calculate the triangular prism's surface area, than we calculate the areas of all the 5 sides. We than divide the prism into 2 triangles and 3 rectangles, find the areas individually and then sum them all up in order to determine the area of the entire triangular prism.
Step 2:
There are two triangles with the base lengths of 9 cm and heights of 12 cm. A triangle's area is half the product of the base length and its height.
Area of 1 triangle = cm².
Area of both triangles = 2× Area of 1 triangle = 108 cm².
Step 3:
There are three rectangles with a common length of 10 cm but there are three different widths. Any rectangle's area is calculated by multiplying the rectangle's length with its width.
Area of a rectangle with width 15 cm cm².
Area of a rectangle with width 9 cm cm².
Area of a rectangle with width 12 cm cm².
Step 4:
The area of the entire triangular prism = Area of 2 triangles + Area of all the 3 rectangles = cm².
This is the surface is area of 1 bookend. As both the bookends are similar.
The surface area of 2 bookends cm².
Asher will need 936 cm² of paint to cover both the bookends.
Hope it helps!