Question

A) Determine the number of faces for each three-dimensional shape below. (2 points)

faces

Question 2

Area of the Left Side = square inches
Area of the Back = square inches
A)
7th Grade Math Formula Sheet
Consider the three-dimensional below.
Determine the total surface area of the figure. The formula chart is at the bottom of the page.
(4 points)

Area of the Bottom = square inches
TOTAL surface area of the figure = square inches

Question 3

A)
7th Grade Math Formula Sheet
Consider the figure below.
Determine the total surface area of the triangular prism. The formula chart is at the bottom of the page.
(5 points)

Area of each triangular face = square centimeters
Area of the smallest rectangular face = square centimeters
Area of the middle rectangular face = square centimeters
Area of the largest rectangular face = square centimeters
TOTAL Surface Area of the Triangular Prism = square centimeters

Question 4

Area of ONE triangular face = square centimeters
Area of the smallest rectangular face = square centimeters
Area of the middle rectangular face = square centimeters
A)
7th Grade Math Formula Sheet
Consider the figure below.
Determine the total surface area of the triangular prism. The formula chart is at the bottom of the page.
(5 points)

Area of the largest rectangular face = square centimeters
Total surface area of the triangular prism = square centimeters

Question 5
A)
7th Grade Math Formula Sheet
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
(1 point)
287 centimeters squared
330 centimeters squared
810 centimeters squared
240 centimeters squared

Answer 1

I can help, but I don’t have the diagrams or the numeric dimensions from your worksheet — the text you pasted has blank spaces where the numbers/labels would be. Could you either

- upload a photo/screenshot of the worksheet, or
- type the missing dimensions and labels for each figure (edge lengths, base and height of triangles, prism lengths, etc.)?

While you get that, here are the formulas and the steps you’ll need so you (or I) can fill in the blanks quickly once I have the numbers.

1) Counting faces (how to answer)
- Cube or rectangular prism: 6 faces
- Triangular prism: 5 faces (2 triangular bases + 3 rectangular lateral faces)
- Square pyramid: 5 faces (1 square base + 4 triangular faces)
- Cylinder: 3 “faces” if you count the curved surface as one plus 2 circular faces (commonly said: 2 circular faces + 1 curved surface)
If you tell me which shapes are pictured I’ll give the exact counts.

2) Surface-area basics (use these for Questions 2–4)
- Area of rectangle = length × width
- Area of triangle = (1/2) × base × height
- Area of circle = π × radius^2
- Total surface area of a rectangular prism = 2(lw + lh + wh)
- Total surface area of a triangular prism = 2 × area_of_triangle + (perimeter_of_triangle) × prism_length
(equivalently: area of the two triangular bases + areas of the three rectangles that form the sides)

Steps to solve each specific blank on your worksheet:
- Identify every face of the 3D figure.
- Compute each face’s area using the appropriate formula.
- Add all face areas to get total surface area.

3) The multiple-choice wedge (triangular-prism cheese)
- “How much plastic wrap is needed” usually means the total surface area of the wedge (unless the problem says the bottom sits on a table and you don’t need to wrap that face—in that case exclude the bottom face). If you give the triangle base dimensions and the prism length, I will compute and compare to the choices (287, 330, 810, 240 cm^2).

Send the images or the missing numbers and I’ll compute each area and the total surface areas step-by-step.