could you answer the question?
Baes are isosceles trapeziods with parallel sides that measure 15 cm. and 25 cm. the distance between the parallel sides is 12cm. and the length of each of the equal sides is 13cm. the height of the prism is 20 cm. what is the surface area?
I can't answer it.
What are "Baes?"
Please clarify and repost, using appropriate capitalization and punctuation.
she probably meant bases
area of base = (b+B)/2 * h = (15+25)/2 * 12 = 300
other faces along the length are
12*20,13*20,25*20
total surface area is 2*300 + 12*20 + 2*13*20 + 25*20 = 1860
Yes, I can help you find the surface area of the trapezoidal prism. The formula for the surface area of a trapezoidal prism is:
Surface Area = 2 × [base area of trapezoid + (height × sum of the lengths of the parallel sides of the trapezoid)]
To calculate the surface area, we need to find the base area of the trapezoid and the sum of the lengths of the parallel sides.
First, let's find the base area of the trapezoid. The formula for the area of a trapezoid is:
Area = (1/2) × (sum of parallel sides) × height
Given that the lengths of the parallel sides are 15 cm and 25 cm, and the height is 12 cm, we can substitute these values into the formula:
Area = (1/2) × (15 cm + 25 cm) × 12 cm
= (1/2) × 40 cm × 12 cm
= 240 cm²
Next, let's calculate the sum of the lengths of the parallel sides:
Sum of lengths of parallel sides = 15 cm + 25 cm
= 40 cm
Now, substitute these values into the formula for the surface area of the trapezoidal prism:
Surface Area = 2 × [240 cm² + (20 cm × 40 cm)]
= 2 × [240 cm² + 800 cm²]
= 2 × 1040 cm²
= 2080 cm²
Therefore, the surface area of the trapezoidal prism is 2080 cm².