Question

7th grade - Find the surface area of this trapezoidal prism. Please help ASAP I'll give brainliest!!!

Answer 1

Answer:

$380 \text{ m}^2$

Step-by-step explanation:

To find the surface area of the trapezoidal pyramid, we can use the formula:

$SA = 2(b) + (p \cdot d)$,

where $b$ is the area of the base, $p$ is the perimeter of the base, and $d$ is the prism's depth.

First, we should find the area of the base using the area of a trapezoid formula.

$A_\text{trap} = \dfrac{b_1 + b_2}{2} \cdot h$

$b = \dfrac{15 + 5}{2} \cdot 7$

$b = 10 \cdot 7$

$b = 70 \text{ m}^2$

Now, we can plug the given dimensions along with the base area into the surface area formula.

$SA = 2(b) + (p \cdot d)$

$SA = 2(70) + ([15 + 10 + 5 + 10] \cdot 6)$

$SA = 140 + (40 \cdot 6)$

$SA = 140 + 240$

$\boxed{SA = 380 \text{ m}^2}$

Answer 2

The answer would be 380m2