184k views
1 vote
Help me work out photo

Help me work out photo-example-1
User Anjelika
by
7.5k points

1 Answer

3 votes

cant have a negative height or width

Answer:

4 cm, 21.5 cm, and 31.5 cm

Explanation:

Let's work through the problem step by step!

We are given a cuboid with a volume of 924 cm³ and dimensions 4 cm, (x + 1) cm, and (x + 11) cm. We can start by using the formula for the volume of a cuboid, which is:

Volume = Length × Width × Height

In this case, the length is 4 cm, the width is (x + 1) cm, and the height is (x + 11) cm. Plugging these values into the formula, we get:

924 = 4(x + 1)(x + 11)

Now, we can expand and simplify the equation:

924 = 4x^2 + 44x + 44

Moving all the terms to one side, we get:

4x^2 + 44x - 924 = 0

Factorizing the left-hand side, we get:

(2x + 22)(2x - 41) = 0

This tells us that either (2x + 22) = 0 or (2x - 41) = 0.

Solving for the first factor, we get:

2x + 22 = 0 --> 2x = -22 --> x = -22/2 = -11

And solving for the second factor, we get:

2x - 41 = 0 --> 2x = 41 --> x = 41/2 = 20.5

Note that x cannot be -11, as it would make the width and height negative. Therefore, the only valid solution is x = 20.5.

So, the dimensions of the cuboid are:

4 cm, (20.5 + 1) cm, and (20.5 + 11) cm

Which simplifies to:

4 cm, 21.5 cm, and 31.5 cm

Therefore, the dimensions of the cuboid are 4 cm × 21.5 cm × 31.5 cm.

metaAI

User Sukhjeevan
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories