Knowee
Questions
Features
Study Tools

The figures below are similar.2 m6 mS1 = 16 m2 S2 = ?What is the surface area of the larger rectangular prism?

Question

The figures below are similar.

2 m
6 m
S1 = 16 m²
S2 = ?

What is the surface area of the larger rectangular prism?

🧐 Not the exact question you are looking for?Go ask a question

Solution

The problem is asking for the surface area of the larger rectangular prism. The figures are similar, which means their sides are proportional.

Step 1: Find the ratio of the sides. The ratio is 6m/2m = 3.

Step 2: The ratio of the areas of similar figures is the square of the ratio of their corresponding sides. So, the ratio of the areas is 3^2 = 9.

Step 3: Multiply the surface area of the smaller figure by the ratio of the areas to find the surface area of the larger figure. So, S2 = S1 * 9 = 16m^2 * 9 = 144m^2.

So, the surface area of the larger rectangular prism is 144 square meters.

This problem has been solved

Similar Questions

The figures below are similar.4 mm8 mmV1 = 729 mm3 V2 = ?What is the volume of the larger rectangular prism?

What is the surface area of the rectangular prism below?A.824 units2B.812 units2C.736 units2D.706 units2

A rectangular prism is shown below.Which diagram is a net for this prism?What is the surface area of the rectangular prism? square millimetersSubmit

The figures below are similar.3 mm2 mmS1 = ? S2 = 36 mm2What is the surface area of the larger cone?S1 = square millimetres

The base of a right prism is a triangle with sides of 12 cm, 16 cm, and 20 cm. If the height of the prism is 9 cm, the surface area of the prism is  .a bc d

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.