Quiz: Test your skills on surface area of rectangular prisms with nets

📚 Quick Study Guide

• 📐 A rectangular prism has six rectangular faces.
• 🌐 A net is a 2D pattern that can be folded to form a 3D shape.
• ➕ To find the surface area, calculate the area of each face and add them together.
• 📏 The formula for the area of a rectangle is: Area = length × width.
• ✏️ Surface Area (SA) of a rectangular prism: $SA = 2lw + 2lh + 2wh$, where l = length, w = width, and h = height.
• 💡 When working with nets, identify corresponding faces to avoid double-counting.
• 🎨 Ensure all units are consistent (e.g., all in cm or all in inches) before calculating.

Practice Quiz

1. What is the surface area of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm?
   1. 25 $cm^2$
   2. 30 $cm^2$
   3. 62 $cm^2$
   4. 31 $cm^2$
2. A rectangular prism has a length of 8 inches, a width of 4 inches, and a height of 6 inches. What is its surface area?
   1. 192 $in^2$
   2. 208 $in^2$
   3. 224 $in^2$
   4. 248 $in^2$
3. Consider the net of a rectangular prism. If the dimensions of one rectangle are 4 cm by 6 cm, another is 6 cm by 3 cm, and the third is 4 cm by 3 cm, what is the surface area of the prism?
   1. 54 $cm^2$
   2. 108 $cm^2$
   3. 84 $cm^2$
   4. 72 $cm^2$
4. A rectangular prism has a square base with sides of 5 cm and a height of 10 cm. What is its surface area?
   1. 250 $cm^2$
   2. 300 $cm^2$
   3. 350 $cm^2$
   4. 400 $cm^2$
5. What is the surface area of a cube with sides of 7 cm?
   1. 49 $cm^2$
   2. 196 $cm^2$
   3. 245 $cm^2$
   4. 294 $cm^2$
6. The net of a rectangular prism consists of two squares with sides of 2 cm and four rectangles with dimensions 2 cm by 5 cm. What is the surface area of the prism?
   1. 48 $cm^2$
   2. 56 $cm^2$
   3. 64 $cm^2$
   4. 72 $cm^2$
7. A rectangular prism has dimensions 10 cm x 5 cm x 3 cm. If all dimensions are doubled, what is the new surface area?
   1. 155 $cm^2$
   2. 310 $cm^2$
   3. 620 $cm^2$
   4. 1240 $cm^2$