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marshall27 [118]
3 years ago
6

Charles begins finding the volume of a trapezoidal prism using the formula a = (b1 b2)h to find the prism's base area. a = ((x 4

) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2
Mathematics
2 answers:
boyakko [2]3 years ago
4 0

Answer:

2x^3+6x^2

Step-by-step explanation:

We are given that

Prism's base area =x^2+3x

Formula for finding the volume of  a trapezoidal prism =\frac{1}{2}(b_1+b_2)h

Where \frac{1}{2}(b_1+b_2)=Area of base

h=Height of prism

We have to find the expression that can be used to represents the volume of the trapezoidal prism.

Height of prism=2x

Substitute the values in the formula then, we get

Volume of trapezoidal prism=(x^2+3x)\times 2x

Volume of trapezoidal prism=2x^3+6x^2

Hence, the expression that can be used to represents the volume of trapezoidal prism is given by

2x^3+6x^2

8_murik_8 [283]3 years ago
3 0
<span>the answer is 2<span>x3</span> + 6x2</span>
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