what is the surface area? square meters
what is the surface area? square meters
Answer
Explanation:
Step1: Calculate area of triangular faces
The area of a triangle is $A=\frac{1}{2}bh$. For the triangular faces with $b = 6m$ and $h = 4m$, $A_{triangle}=\frac{1}{2}\times6\times4= 12$ square - meters. Since there are 2 triangular faces, the total area of triangular faces is $2\times12 = 24$ square - meters.
Step2: Calculate area of first rectangular face
The first rectangular face has dimensions $5m\times9m$. Its area $A_1=5\times9 = 45$ square - meters.
Step3: Calculate area of second rectangular face
The second rectangular face has dimensions $6m\times9m$. Its area $A_2=6\times9 = 54$ square - meters.
Step4: Calculate area of third rectangular face
The third rectangular face has dimensions $4m\times9m$. Its area $A_3=4\times9 = 36$ square - meters.
Step5: Calculate total surface area
The total surface area $A = 24+45 + 54+36=159$ square - meters.
Answer:
159