Stacey needs to buy some cardboard to build a box 10 inches long, 9 inches wide, and 7 inches high. If she purchases 500 square inches of cardboard, how much will be left over?

Answer 1

First, calculate the total surface area of the box:

2(10x9) + 2(10x7) + 2(9x7)
= 180 + 140 + 126
= 446 square inches

Stacey purchases 500 square inches of cardboard, so subtract the surface area of the box from the total cardboard purchased:

500 - 446 = 54 square inches

Stacey will have 54 square inches of cardboard left over after building the box.

Answer 2

Jordan purchased a piece of fabric that is 18 cm by 18 cm in order to make a tent for her little sister’s dolls. Using the dimensions for the tent shaped like a triangular prism, how much fabric will be left over? If the height is 6cm the length is 4cm and the with is 12cm.

Answer 3

First, calculate the surface area of the three sides of the triangular prism that make the tent:

1. The front and back sides:
- The front and back sides can be considered two triangles with base 4 cm and height 6 cm.
- Area = 2 x (1/2 x 4 x 6) = 24 cm²

2. The bottom side:
- The bottom side is a rectangle with length 12 cm and width 4 cm.
- Area = 12 x 4 = 48 cm²

Next, calculate the total surface area of all three sides:

24 cm² (front and back sides) + 48 cm² (bottom side) = 72 cm²

Since Jordan purchased a piece of fabric that is 18 cm by 18 cm, the total area of the fabric is 18 cm x 18 cm = 324 cm²

Now, calculate the amount of fabric left over:

324 cm² - 72 cm² = 252 cm²

Jordan will have 252 cm² of fabric left over after making the tent for her sister's dolls.

Answer 4

what are all the sides of a triangular prism? like hight and length.

Answer 5

A triangular prism has three distinct pairs of parallel faces. The bases of the triangular prism are triangles, and the other faces are rectangular. Below are the different sides of a triangular prism:

1. Base Triangles:
- The base triangles have a base and height. The base of the triangle is one of the sides of the prism, and the height is perpendicular to the base.

2. Rectangular Sides:
- There are three rectangular sides in a triangular prism. These sides connect the corresponding vertices of the two base triangles.

So for a triangular prism, you have:
- 2 base triangles (each with a base and height)
- 3 rectangular sides (length and width)

For example, when given the dimensions of a triangular prism as follows:
- Height (h)
- Length of the base triangle (l)
- Width of the base triangle (w)

You can calculate the surface area of the triangular prism using the formula:
Surface Area = 2lw + l(2h + w)

I hope this clarifies the sides of a triangular prism. Let me know if you need further information.

Answer 6

What are all four of the measurements of a triangular prism?

Answer 7

A triangular prism has four measurements, which are as follows:

1. Base Edge Length (b): The length of one side of the base triangle of the prism.
2. Height (h): The perpendicular distance from the base of the prism to the opposite face.
3. Apothem (a): The distance from the center of the base triangle to the midpoint of one of its sides.
4. Length (l): The length of the prism, representing the distance between the two triangular bases along the axis of the prism.

These measurements help define the shape and dimensions of a triangular prism and are essential for calculating its volume, surface area, or any other relevant properties.

Let me know if you need more information or assistance with triangular prisms.