Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

On the left, prism A. Prism A is a triangular prism. The base has side lengths of 6 centimeters, 8 centimeters, and 10 centimeters. On the right, prism B. Prism B is a rectangular prism. The base has side lengths of 5 centimeters and 5 centimeters.

Sagot :

MrRoyal

Answer:

Prism B has a larger base area

Step-by-step explanation:

Given

Base dimensions:

Prism A:

Lengths: 6cm, 8cm and 10cm

Prism B:

Lengths: 5cm and 5cm

Required [Missing from the question]

Which prism has a larger base area

For prism A

First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.

The longest side is the hypotenuse; So:

[tex]10^2 = 8^2 + 6^2[/tex]

[tex]100 = 64 + 36[/tex]

[tex]100 = 100[/tex]

The above shows that the base dimension forms a right-angled triangle.

The base area is then calculated by;

Area = 0.5 * Products of two sides (other than the hypotenuse)

[tex]Area = 0.5 * 8cm * 6cm[/tex]

[tex]Area = 24cm^2[/tex]

For Prism B

[tex]Lengths = 5cm\ and\ 5cm[/tex]

So, the area is:

[tex]Area = 5cm * 5cm[/tex]

[tex]Area = 25cm^2[/tex]

By comparison, prism B has a larger base area because [tex]25cm^2 > 24cm^2[/tex]

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.