Question

What is the value of B for the following triangular prism? Remember that there are 10 millimeters

Answer 1

Answer:

D. $1.5\text{ cm}^2$

Step-by-step explanation:

We have been given an image of a triangular prism and we are asked to find the value of B for our given prism.

We know that volume of prism is base area times height of prism.

$\text{Volume of prism}=B\times h$, where,

B = Base area of prism,

h = Height of prism.

We can see that base of our prism is triangular, so we will use area of triangle formula to solve for B.

$\text{Area of triangle}=\frac{1}{2}(\text{Base*Height})$

Before substituting our given values in area formula, we will convert our 10  mm to cm by dividing it by 10.

1 cm = 10 mm.

$\text{12 mm}=\frac{12}{10}\text{ cm}=1.2\text{ cm}$

$\text{Area of triangle}=\frac{1}{2}(\text{1.2 cm*2.5 cm})$

$\text{Area of triangle}=\frac{1}{2}(3\text{ cm}^2)$

$\text{Area of triangle}=1.5\text{ cm}^2$

Therefore, the value of B is 1.5 square centimeters and option D is the correct choice.

Answer 2

Answer:

30

Step-by-step explanation:

12*2.5