All categories

3 years ago

A cube has a surface area of 486cm^2. what is its side length?

Mathematics

1 answer:

Gnesinka [82]3 years ago

5 0

Answer:

9 cm

Step-by-step explanation:

Total surface area of a cube =486 cm²

We know that the surface area of the cube

=6l²

Therefore,

6l ² =486

l² =81

l =9 cm

You might be interested in

Which is the correct equation for the table below? -2 10 -4 4 -10 -14

MArishka [77]

Answer:

y=3x+16

Step-by-step explanation:

slope=(4-10)/(-4+2)=-6/-2=3

or slope=(-14-4)/(-10+4)=-18/-6=3

eq. of line is y-10=3(x+2)

or y=3x+6+10

or y=3x+16

5 0

4 years ago

Read 2 more answers

In the figure below, AD is the perpendicular bisector of CB. Based on this information, which other statement can be proven to b

snow_tiger [21]

Answer:

463833

expand

Medium

Solution

verified

Verified by Toppr

In △ABD and △ACD, we have

DB=DC ∣ Given

∠ADB=∠ADC ∣ since AD⊥BC

AD=AD ∣ Common

∴ by SAS criterion of congruence, we have.

△ABD≅△ACD

⇒AB=AC ∣ Since corresponding parts of congruent triangles are equal

Hence, △ ABC is isosceles.

5 0

2 years ago

Read 2 more answers

Please help asap 100 points

vesna_86 [32]

Answers:

Problem #1: Option C, 166 yards cubed

Problem #2: Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it. Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder. However, before doing that we need to determine the radius of the circle from the diameter that was given.

Divide the diameter by two to get the radius

$Radius = \frac{Diameter}{2}$

$Radius = \frac{5.2\ yd}{2}$

$Radius = 2.6\ yd$

Plug in the values

$V_{cylinder} = (\pi * radius^2)*height$

$V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd$

Simplify the exponent

$V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd$

$V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd$

Simplify the expression

$V_{cylinder} = (21.237\ yd^2)*7.8\ yd$

$V_{cylinder} = 165.65\ yd^3$

Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question. In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of. We need to use the Secant-Secant Power Theorem to help determine our solution.

Make an expression to represent the scenario

$32(x + 32) = 28(20 + 28)$

We know have an expression which we can now simplify and get the value of the unknown easily. The first step would be to distribute the 32 and 28.

Distribute both sides