Hello! Im sorry to bother all of you, but could anyone help me out here? I have a few questions, and I'm far too mentally exhausted to answer them right. Please, if anyone has the answers to Lesson 11, Unit 3, Rectangular Prisms and Volume's 10-question practice, that would be much appreciated! Thank you! -Serendipitii.
The Questions:
1. Use the formula V = lwh to find the volume of a rectangular prism with the following dimensions:
* length = 7 in.
* width = 4 in.
* height = 3 in.
2.Use the formula V = lwh to find the volume of a rectangular prism with the following dimensions:
* Length = 5 m
* Width = 2 m
* Height = 10 m
3. Using the formula V = lwh, find the volume of a cube with a side length of 5 ft.
4. The volume of a rectangular prism is 30 inches, cubed. Use the formula V = lwh and the given dimensions to find the height of the prism.
* length = 2 in.
* width = 3 in.
5. The diagram shows the dimensions of a small container. What is the volume of the container?
(10 cm, 8 cm, 4 cm, shape of a rectangle)
Thank you!
these are the answers for the Rectangular Prisms and Volume Practice:
1. v = 84
2. v = 100m
3. v = 125ft
4. height = 5 in
5. v = 320cm
6. v = 500ft
7. 5cm
8. 900in
9. v = 12ft
10. The prism could be a cube with a side length of 10 mm
It is possible for the length to be 1,000mm.
It is possible that the length is 2.5mm.
1. V = L*W*h = 7*4*3 = 84 in ^3.
All of the remaining problems are similar to #1.
Oogieoogie is correct
Thank you for confirming the correct answers!
Hello Serendipitii! I'd be happy to help you with your questions regarding rectangular prisms and volume.
1. To find the volume of a rectangular prism, you can use the formula V = lwh, where l represents the length, w represents the width, and h represents the height. Let's use this formula for the first question:
Volume = length × width × height
Volume = 7 in × 4 in × 3 in
Volume = 84 in³
2. Similarly, for the second question:
Volume = length × width × height
Volume = 5 m × 2 m × 10 m
Volume = 100 m³
3. To find the volume of a cube, you can still use the formula V = lwh, but in a cube, all sides are equal. So, if the side length of a cube is 5 ft, then each side will have a length of 5 ft. Thus, the volume of the cube would be:
Volume = side length × side length × side length
Volume = 5 ft × 5 ft × 5 ft
Volume = 125 ft³
4. In this question, you are given the volume of a rectangular prism and the dimensions of length and width. To find the height, you can rearrange the formula V = lwh to solve for h. Let's plug in the given information:
30 in³ = 2 in × 3 in × h
Divide both sides of the equation by (2 in × 3 in):
30 in³ / (2 in × 3 in) = h
30 in³ / 6 in² = h
h = 5 in
5. The volume of a rectangle can be found using the formula V = lwh, where l represents the length, w represents the width, and h represents the height. However, in this case, the diagram only provides the two dimensions of the container, which are the length and width. Since the diagram does not give the height of the container, we cannot determine the volume without that information.
I hope this helps! Let me know if you have any further questions.
2. 100ft
Just multiply all the numbers it isn't hard if you actually read.
L is length and W is Width and H is the height
V=lwh or V= L x w x H
Then plug in the numbers and it's V= 5x2x10 which is 100ft! Im still working on the test myself so sorry I only have the answer for 2-