Answer:
The carpenter will need 2 plywood to build the prism.
Step-by-step explanation:
Given:
The size of the plywood = 4 ft x 8 ft
1 Unit = 4 feet
To Find :
Number of plywood sheets the carpenter would need = "
Solution:
Step 1: Find the area of square
Area of the square is
=>[tex]4^2[/tex]
=>[tex]16 cm^2[/tex]
Here we have 3 square, so
[tex]3 \times 16[/tex]
=>[tex]48 ft^2[/tex]
Step 2 : Area of the triangle
Area of the triangle is
=>[tex]\frac{1}{2} \times b\times h[/tex]
=>[tex]\frac{1}{2} \times 4 \times 4[/tex]
=>[tex]\frac{16}{2} [/tex]
=>[tex]8ft^2[/tex]
[tex]2 \times 8 = 16ft^2[/tex]
Step 3: Finding the plywood needed
the total area of the triangular prism is
48 + 16= [tex]64 ft^2[/tex]
Area of the plywood wood is
=> [tex]4 \times 8[/tex]
=> [tex]32 ft^2[/tex]
Number of plywood required = [tex]\frac{\text {area of the prism}}{\text{area of one plywood}}[/tex]
=> [tex]\frac{64}{32}[/tex]
=> 2
