Question

What expression represents the volume of the prism, in cubic units? one-halfx3 x2 one-halfx3 three-halves x2 x3 x2 x3 3x2

Answer 1

The expression which represents the volume of the prism, in cubic units, is one-half x³+ x².

What is of volume of prism?

Volume of prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a prism is the product of the area of its base and height.

$V=A_b\times h$

Here, ($A_b$) is the area of the base and (h) is the height of the prism.

The side of the base of the triangular prism is x units. Thus the area of the base is,

$A_b=\dfrac{x\times x}{2}\\A_b=\dfrac{x^2}{2}$

The height of this prism is (x+2) units long. Thus, the volume of the prism is,

$V=\dfrac{x^2}{2}\times (x+2)\\V=\dfrac{1}{2}x^3+x^2$

Thus, the expression which represents the volume of the prism, in cubic units, is one-half x³+ x².

Learn more about the volume of a prism here;

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Answer 2

Answer:

1. A- 1/2x^3

2. 168

3. 927

4A. 48

4B. 336

5. A D

6. 1 3 3

7. 12 cm

8. 8 , 4

9. B

10. A C D

Step-by-step explanation:

whole thing right on edge