95.2k views
4 votes
Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume

of the ramp?
28 m3
1 m
15 m
m
7.5 m
3.5 m
11.5 m

User Basel Juma
by
5.6k points

2 Answers

4 votes

Answer:

The 3rd option is correct.

Volume of the ramp = 11.5 m³

Explanation:

The complete question, together with an image of the ramp is presented in the attached image to this answer.

The volume of any prism is the area of one of the faces that appears twice and the perpendicular distance between the faces.

For the triangular prism, the volume is given as

V = (1/2) × b × h × l

b = 3.5 m

h = 1 m

l = 2 m

V = (1/2) × 3.5 × 1 × 2 = 3.5 m³

For the rectangular prism, the volume is given as

V = l × b × h

l = 2 m

b = 4 m

h = 1 m

V = 2 × 4 × 1 = 8 m³

Total volume of the ramp

= (Volume of triangular prism) + (Volume of rectangular prism)

= 3.5 + 8 = 11.5 m³

Hope this Helps!!!

Jane builds a ramp made of a triangular prism and a rectangular prism. What is the-example-1
User Iaretiga
by
5.2k points
0 votes

Answer:

15 cubic meters

Explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

Please have a look at the attached photo

My answer:

Given the information in the photo, we know that:

  • The height of the rectangular prism is: 1 m
  • The width of the rectangular prism : 2 m
  • The legnth of the rectangular prism : 4 m

=> The volume of the rectangular prism is:

V = the height * the length * The width

<=> V = 1*2*4

<=> V = 8 cubic meters

Given the information in the photo, we know that:

  • The width of the triangular prism : 2 m
  • The height of the is: 1 m
  • The legnth of the triangular prism is: 3.5 m

=> The volume of the triangular prism is:

V = the height * the length * the width

<=> V = 1*2*3.5

<=> V = 7 cubic meters

=> the volume of the ramp is: 8 + 7 = 15 cubic meters

Jane builds a ramp made of a triangular prism and a rectangular prism. What is the-example-1
User Mahir Islam
by
5.9k points