The area of the base of a rectangular prism is 32 1/ 2 cm2. The height of the prism is 8 cm. What is the volume of the prism? A) 72 1 2 cm3 B) 95 cm3 C) 150 cm3 D) 260 cm3

What is the area of the green triangle?
A) 23 cm2
B) 30 cm2
C) 46 cm2
D) 65 cm2

What is the volume of the triangular prism?
A) 8 ft3
B) 12 ft3
C) 16 ft3
D) 24 ft3

What is the surface area of the triangular prism?
A) 991 cm2
B) 1024 cm2
C) 1400 cm2
D) 1984 cm2

Respuesta :

Math Question Answered.

100% Correct. C;

Answer:

1. What is the area of the green triangle?

A) 23 cm2  

B) 30 cm2  

C) 46 cm2  

D) 65 cm2

Correct answer is : D) 260 cm3

Step-by-step explanation:

260cm3  

V = (area of base)(height)

(32  1/

2  cm2) (8cm)

260 cm3

2. Answer:

What is the volume of the triangular prism?

A) 8 ft3  

B) 12 ft3  

C) 16 ft3  

D) 24 ft3

   Correct Answer is: A) 8 ft^3

Step-by-step explanation:

Volume =  1

/2  × base × height × length

Volume =  1

/2 × 4 × 4 × 1 = 8

3. Answer:

What is the surface area of the triangular prism?

A) 991 cm2  

B) 1024 cm2  

C) 1400 cm2  

D) 1984 cm2

    Correct answer:  D) 1984 cm2

Step-by-step explanation:

SA = bh + (s1 + s2 + s3)H

SA = 24(16) + (24 + 20 + 20)25

SA = 384 + (64)(25)

SA = 384 + 1600

SA = 1984 cm2

Answer:

What is the area of the green triangle?

A) 23 cm2  

B) 30 cm2  

C) 46 cm2  

D) 65 cm2

       Correct Answer: D) 65 cm2

HOPE THIS HELPED YOU A-LOT

The volume of the prism is 260 cm³ and the right option is D) 260 cm³.

What is volume?

Volume is the amount of space that a substance or an object occupies.

To calculate the volume of the prism, we use the formula below.

Formula:

  • V = A'h............ Equation 1

Where:

  • V = Volume of the rectangular prism
  • A' = Area of the base
  • h = Height of the prism.

From the question,

Given:The volume of the prism is 260 cm³ and the right option is D) 260 cm³.

  • A' = 32[tex]\frac{1}{2}[/tex] = 65/2 cm²
  • h = 8 cm

Substitute these values into equation 1

  • V = (65/2)(8)
  • V = 260 cm³

Hence, The volume of the prism is 260 cm³ and the right option is D) 260 cm³.

Learn more about volume here: https://brainly.com/question/1972490

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