Question

what is the surface area? square centimeters

Explanation:

Step1: Calculate area of triangular faces

The area of a triangle is $A=\frac{1}{2}bh$. For the triangular faces with $b = 6$ cm and $h = 4$ cm, $A_{triangle}=\frac{1}{2}\times6\times4= 12$ $cm^{2}$. Since there are 2 triangular faces, the total area of triangular faces is $2\times12 = 24$ $cm^{2}$.

Step2: Calculate area of first rectangular face

The first rectangular face has sides 5 cm and 8 cm. Its area $A_{1}=5\times8 = 40$ $cm^{2}$.

Step3: Calculate area of second rectangular face

The second rectangular face has sides 6 cm and 8 cm. Its area $A_{2}=6\times8=48$ $cm^{2}$.

Step4: Calculate area of third rectangular face

The third rectangular face has sides 4 cm and 8 cm. Its area $A_{3}=4\times8 = 32$ $cm^{2}$.

Step5: Calculate total surface - area

The total surface area $A = 24+40 + 48+32=144$ $cm^{2}$.

Answer:

144