All categories

3 years ago

The lateral surface area of a cube is 400cm². Its total surface area is

Mathematics

2 answers:

OLga [1]3 years ago

8 0

Answer:

Step-by-step explanation:

Lateral surface area of cube = 4a²

4a² = 400

a² = 400÷4

a² = 100

a = √100 = √10*10

a = 10 cm

Total surface area = 6a²

= 6 * 10²

= 6* 100

= 600 cm²

Nina [5.8K]3 years ago

3 0

Answer:

Step-by-step explanation:

I believe that I did this before.

You might be interested in

How many solutions does this system

mr Goodwill [35]

The answer is B.) one

Hope this helps :)

5 0

3 years ago

Mold grows on bread and every day it doubles by the eighth day the entire bread is covered with mold when was half the bread cov

Brut [27]

Answer:

The mold will cover half the area as much are one day before it.

Step-by-step explanation:

Given:

Every day the mold on bread grows doubles

And by 8th day entire bread covered with it.

To Find:

When was half the bread covered by mold.

Solution:

It is said that area covered by mold doubles on each day

Total days taken to cover entire bread are 8

Let Area of bread be A

So Area covered (A) corresponds to 8 days with doubling.

So on previous day it should What ever area on 8th day/2

i.e A(8)/2

Similar on 6th day A(7)/2

So on 5ht day =A(6)/2 ,4th= A(5)/2, on 3rd= A(4)/2, on 2nd=A(3)/2

On 1st =A(2)/2

So we required Area= half of total.

One day before the 8th day will be 7th day

on that day it will cover half are so that on next day will cover the double of the previous area consumed.

4 0

3 years ago

What is the ratio of 5:3

Varvara68 [4.7K]

5:3

5 to 3

5/3

Is that what you are looking for?

4 0

3 years ago

4 times a number is 32 less than the square of that number. Find the negative solution.

zvonat [6]

Answer:

The negative solution is -4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

(x - 8) (x + 4) = 0

(x₁ - 8) = 0

(x₂ + 4) = 0

x₁ = 8

x₂ = -4

The negative solution is -4

3 0

2 years ago

The area of a right triangle is given by the expression:

lorasvet [3.4K]

The expression that models the length of the second leg of the triangle is 2x - 3.

Recall:

The area of a triangle = $\frac{1}{2} bh$

Given:

Area of triangle = $\frac{1}{2} (6x^2 - 7x - 3)$

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

$6x^2 - 7x - 3$

To find the expression that models the other leg, divide $6x^2 - 7x - 3$ by 3x + 1:

Thus:

$\frac{6x^2 - 7x - 3}{3x - 1}$

Factorize the numerator

$\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}$

Simplify

$\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3$

Therefore, the expression that models the length of the second leg of the triangle is 2x - 3.

Learn more here:

brainly.com/question/20712284

6 0

1 year ago