All categories

3 years ago

How many times smaller is the surface area of a cube if the side length is multiplied 1/2

Mathematics

1 answer:

Tju [1.3M]3 years ago

4 0

Answer:

1/4, or 4 times smaller

Step-by-step explanation:

Since the surface area of a cube is just the combination of the area of all of the square sides, and the formula for those is s^2, if the side length was decreased by 1/2 then the surface area would decrease by (1/2)^2=1/4. Hope this helps!

You might be interested in

The first three towers in a sequence are shown. The nth tower is formed by stacking n blocks on top of an n times n square of bl

erik [133]

Answer:

The 99th tower contains 9900 blocks.

Step-by-step explanation:

From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:

n + n²

Now let us use the diagram to validate the idea.

Tower 1:

n = 1

Number of blocks = 1 + 1² = 2

Tower 2:

Number of blocks = 2 + 2² = 6

Tower 3:

Number of blocks = 3 + 3² = 12

Using same idea, we can obtain the number of blocks in the 99th tower as follow:

Tower 99:

n = 99

Number of blocks = 99 + 99² = 9900

Therefore, the 99th tower contains 9900 blocks.

7 0

3 years ago

The floor of a triangular room has an area of 32 1/2 sq.m. If the triangle’s altitude is 7 172 m, write an equation to determine

sineoko [7]

Answer:

$\frac{(2)A}{h} =b$

b=0.00906m

Step-by-step explanation:

Hello! To solve this exercise we must remember that the area of any triangle is given by the following equation

$A=\frac{bh}{2}$

where

A=area=32.5m^2

h=altitude=7172m

b=base

Now what we should do take the equation for the area of a rectangle and leave the base alone, remember that what we do on one side of the equation we must do on the other side to preserve equality

$A=\frac{bh}{2} \\\frac{2}{h} A=\frac{bh}{2} \frac{2}{h} \\$

$\frac{A(2)}{h} =b$

solving

$\frac{2(32.5)}{7172} =0.0090[tex]\frac{A(2)}{h} =b\\b=0.00906m$

4 0

3 years ago

The dance committee of Pine Bluff Middle School earns \$72$72dollar sign, 72 from a bake sale and will earn \$4$4dollar sign, 4

Brut [27]

Answer:

The correct answer is 72 + 4 × x $\geq$ 400.

Step-by-step explanation:

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance.

The dance will cost $400.

Let x number of tickets the committee could sell.

Total money earned is 72 + 4 × x.

The committee should have some left over money also after spending for the dance which costs $400.

Thus the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is given by,

72 + 4 × x $\geq$ 400.

3 0

3 years ago

Read 2 more answers

Which symbol correctly compares the two angle measures? pi/4 radians_____30°

Thepotemich [5.8K]

Answer:

B. $\frac{\pi }{4} Rad>30^{0}$