A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese? the demission's of the cheese is 12cm 5cm 9cm 13cm

Question

The answer choices are

287 cm2

330 cm2

810 cm2

240cm2

Answer 1

To find the total surface area of the cheese, we need to find the area of each face and add them up.

There are three rectangular faces, each with an area of length times width:

- Face 1: 12 cm x 5 cm = 60 cm2
- Face 2: 9 cm x 5 cm = 45 cm2
- Face 3: 13 cm x 5 cm = 65 cm2

There are also two triangular faces. To find the area of a triangle, we use the formula (base x height)/2.

- Face 4: (12 cm x 9 cm)/2 = 54 cm2
- Face 5: (13 cm x 9 cm)/2 = 58.5 cm2

Adding up all the areas, we get:

60 cm2 + 45 cm2 + 65 cm2 + 54 cm2 + 58.5 cm2 = 282.5 cm2

Rounding to the nearest whole number, the closest answer choice is 287 cm2. Therefore, the answer is 287 cm2.

Answer 2

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A party store offers small balloons and large balloons. You can choose from pink, blue, green, and yellow balloons. You can choose from silver, gold, and white ribbons. Use the counting principle to find the number of different ways you can choose a balloon with a ribbon.

Answer 3

To use the counting principle, we need to multiply the number of options for choosing the balloon by the number of options for choosing the ribbon.

There are 2 sizes of balloons (small and large) and 4 colors of balloons (pink, blue, green, and yellow). So there are:

2 options for the size of balloon x 4 options for the color of balloon = 8 options for choosing a balloon

There are 3 options for the color of ribbon (silver, gold, white).

So using the counting principle, the total number of different ways we can choose a balloon with a ribbon is:

8 options for choosing a balloon x 3 options for choosing a ribbon = 24 different ways

Therefore, there are 24 different ways you can choose a balloon with a ribbon.