Ask question

Ask question

All categories

2 years ago

12

WILL REWARD BRAINIEST! A right rectangular container is 6 cm wide and 10 cm long and contains water to a depth of 7cm. A stone i

s placed in the water and the water rises 1.7 cm. Find the volume of the stone.

2 answers:

Damm [24]2 years ago

8 0

Answer:

102cm^3

Step-by-step explanation:

v=l×w×h

10x6x7=420 cm^3

the volume of water+stone=

10×6×(7+1.7)

522cm^3

522-420= 102cm^3

alex41 [277]2 years ago

4 0

Answer:

volume without the stone = 5x12x7 = 420

volume with the stone = 5x12x8.7 = 522

for an increase of 102 cm^3 , so according to Archimedes that increase would have been caused by the volume of the stone.

You might be interested in

Solve the following and explain your steps. Leave your answer in base-exponent form. (3^-2*4^-5*5^0)^-3*(4^-4/3^3)*3^3 please st

Naily [24]

Answer:

$\boxed{2^{\frac{802}{27}} \cdot 3^9}$

Step-by-step explanation:

<u>I will try to give as many details as possible. </u>

First of all, I just would like to say:

$\text{Use } \LaTeX !$

Texting in Latex is much more clear and depending on the question, just writing down without it may be confusing or ambiguous. Be together with Latex! （＊＾Ｕ＾）人（≧Ｖ≦＊）/

$(3^{-2} \cdot 4^{-5} \cdot 5^0)^{-3} \cdot (4^{-\frac{4}{3^3} })\cdot 3^3$

Note that

$\boxed{a^{-b} = \dfrac{1}{a^b}, a\neq 0 }$

The denominator can't be 0 because it would be undefined.

So, we can solve the expression inside both parentheses.

$\left(\dfrac{1}{3^2} \cdot \dfrac{1}{4^5} \cdot 5^0 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{3^3} } }\right)\cdot 3^3$

Also,

$\boxed{a^{0} = 1, a\neq 0 }$

$\left(\dfrac{1}{9} \cdot \dfrac{1}{1024} \cdot 1 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27$

Note

$\boxed{\dfrac{1}{a} \cdot \dfrac{1}{b}= \frac{1}{ab} , a, b \neq 0}$

$\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27$

$\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)$

$\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)$

$\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)$

Note

$\boxed{\dfrac{1}{\dfrac{1}{a} } = a}$

$9216^3\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)$

$\left(\dfrac{ 9216^3\cdot 27}{4^{\frac{4}{27} } }\right)$

Once

$9216=2^{10}\cdot 3^2 \implies 9216^3=2^{30}\cdot 3^6$

$\boxed{(a \cdot b)^n=a^n \cdot b^n}$

And

$4^{\frac{4}{27}} = 2^{\frac{8}{27}$

We have

$\left(\dfrac{ 2^{30} \cdot 3^6\cdot 27}{2^{\frac{8}{27} } }\right)$

Also, once

$\boxed{\dfrac{c^a}{c^b}=c^{a-b}}$

$2^{30-\frac{8}{27}} \cdot 3^6\cdot 27$

As

$30-\dfrac{8}{27} = \dfrac{30 \cdot 27}{27}-\dfrac{8}{27} =\dfrac{802}{27}$

$2^{30-\frac{8}{27}} \cdot 3^6\cdot 27 = 2^{\frac{802}{27}} \cdot 3^6 \cdot 3^3$

$2^{\frac{802}{27}} \cdot 3^9$

4 0

2 years ago

Is 56 ft, 65 ft, 16 ft a right triangle

Debora [2.8K]

No, it isn't a right triangle.

7 0

2 years ago

Read 2 more answers

A rectangular tank has length 4m, width 12m and height 3.5..i. If the tank is filled with water 2/3 of its capacity ,calculate t

ipn [44]

Answer:

The volume of the water in the tank is 112 m³

Step-by-step explanation:

The volume of the rectangular prism V = L × W × H, where

L is its length

W is its width

H is its height

∵ A rectangular tank has a length of 4 m, a width of 12 m, and

a height of 3.5 m

∴ L = 4 m

∴ W = 12 m

∴ H = 3.5 m

∵ V = L × W × H

∴ The volume of the tank = 4 × 12 × 3.5

∴ The volume of the tank = 168 m³

∵ The tank is filled with water $\frac{2}{3}$ of its capacity

→ That means the volume of the water is $\frac{2}{3}$ the volume of the tank

∵ The volume of the water = $\frac{2}{3}$ the volume of the tank

∴ The volume of the water = $\frac{2}{3}$ × 168

∴ The volume of the water = 112 m³

∴ The volume of the water in the tank is 112 m³

3 0

2 years ago

There were a total of 209 basketball games in the season the season played is for 19 months how many basketball games were playe

dangina [55]

Answer:

11

Step-by-step explanation:

divide 209 by 19 to get an equal number of games each month (for 19 months), you will get 11 games each month.

6 0

2 years ago

Read 2 more answers

Madison is buying a $3,000 car at 9% simple interest for 2 years. What will be the total amount she pays for the car?

Pavlova-9 [17]

Answer

The answer is $3,540 hope it helps.

Step-by-step explanation:

7 0

3 years ago