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1. Allan keeps tropical fish. His aquarium is 120 cm, 30 cm wide, and 60 em
tall. Each fish needs at least 13 500 cm3 of water. What is the maximum
number of fish that he can keep in the aquarium?
2. Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width
of 6 cm. Find the volume of the box?
3. A cylindrical tank can hold 44 cuble meters of water. If the radius of the
tank is 3.5 meters, how high is the tank
4. A chocolate milk container in the form of a rectangular prism is 5 em long,
3 cm wide, and 9 cm high. How many cubic centimeters of chocolate milk
can it hold?
5. Find the volume of a right circular cone-shaped building with a height of 9
cm and a radius base of 7 cm.​

Sagot :

Answer:

. Allan keeps tropical fish. His aquarium is 120 cm, 30 cm wide, and 60 cm

tall. Each fish needs at least 13 500 cm3 of water. What is the maximum

number of fish that he can keep in the aquarium?

\huge\huge\color{cyan}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

Volume Of Aquarium =lxbxh

=120cm x 30cm x 60cm

=216000cm³

Let N Number Of Fish Can Be Keep In Aquarium.

So,nx Fish Needs Water =Volume of Aquarium

» nx 13,500 = 216,00

n = \frac{216.000}{13.500} = 16n=

13.500

216.000

=16

So Number Of Fish Can Be Kept =16

=============================

\huge\huge\color{purple}{\boxed{\tt{PROBLEM}}}

PROBLEM

2. Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width

of 6 cm. Find the volume of the box?

\huge\huge\color{purple}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

What is asked?

The Volume Of The Box

What are the given facts?

The Length is 12 cm, Height of 8 cm And Width of 6 cm.

Which formula(s) shall we use to solve the problem?

The Volume of Formula Of Cubic

Solution

The Volume of The Box is 12x8xb=57b cm³

Answer

So The Volume Of The Box Is 576 cm³

=============================

\huge\huge\color{yellow}{\boxed{\tt{PROBLEM}}}

PROBLEM

3. A cylindrical tank can hold 44 cubic meters of water. If the radius of the

tank is 3.5 meters, how high is the tank?

\huge\huge\color{yellow}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

v =πr².h =44

π.3.5².h=44

12.25π.h=44

{ The Volume Formula Of A Cylinder }

h = \frac{44}{12.25\pi} = \frac{176}{49\pi} h=

12.25π

44

=

49π

176

So The Tank is

\frac{176}{49\pi} meters \: high

49π

176

metershigh

=============================

\huge\huge\color{lime}{\boxed{\tt{PROBLEM}}}

PROBLEM

4. A chocolate milk container in the form of a rectangular prism is 5 cm long,

3 cm wide, and 9 cm high. How many cubic centimeters of chocolate milk

can it hold?

\huge\huge\color{lime}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

Lxwxh

= 5x3x9

=134

= 135 \: c {m}^{2} =135cm

2

=============================

\huge\huge\color{magenta}{\boxed{\tt{PROBLEM}}}

PROBLEM

5. Find the volume of a right circular cone-shaped building with a height of 9

cm and a radius base of 7 cm.

\huge\huge\color{magenta}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

Height =9cm

Radius =7cm

Find : Volume Of A Conical Building

Solution:

Volume of Cone

= \pi {8}^{2} \frac{h}{3 } =π8

2

3

h

= \frac{22}{7} x7x7x \frac{9}{3} =

7

22

x7x7x

3

9

= 22x7x3=22x7x3

= 46 \: 2 \: c {m}^{3} =462cm

3

So The Hence Volume Of the Cone is 462 cm³

=============================

#CARRYONLEARNING

=============================

SFADSSFADS. Allan keeps tropical fish. His aquarium is 120 cm, 30 cm wide, and 60 cm

tall. Each fish needs at least 13 500 cm3 of water. What is the maximum

number of fish that he can keep in the aquarium?

\huge\huge\color{cyan}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

Volume Of Aquarium =lxbxh

=120cm x 30cm x 60cm

=216000cm³

Let N Number Of Fish Can Be Keep In Aquarium.

So,nx Fish Needs Water =Volume of Aquarium

» nx 13,500 = 216,00

n = \frac{216.000}{13.500} = 16n=

13.500

216.000

=16

So Number Of Fish Can Be Kept =16

=============================

\huge\huge\color{purple}{\boxed{\tt{PROBLEM}}}

PROBLEM

2. Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width

of 6 cm. Find the volume of the box?

\huge\huge\color{purple}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

What is asked?

The Volume Of The Box

What are the given facts?

The Length is 12 cm, Height of 8 cm And Width of 6 cm.

Which formula(s) shall we use to solve the problem?

The Volume of Formula Of Cubic

Solution

The Volume of The Box is 12x8xb=57b cm³

Answer

So The Volume Of The Box Is 576 cm³

=============================

\huge\huge\color{yellow}{\boxed{\tt{PROBLEM}}}

PROBLEM

3. A cylindrical tank can hold 44 cubic meters of water. If the radius of the

tank is 3.5 meters, how high is the tank?

\huge\huge\color{yellow}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

v =πr².h =44

π.3.5².h=44

12.25π.h=44

{ The Volume Formula Of A Cylinder }

h = \frac{44}{12.25\pi} = \frac{176}{49\pi} h=

12.25π

44

=

49π

176

So The Tank is

\frac{176}{49\pi} meters \: high

49π

176

metershigh

=============================

\huge\huge\color{lime}{\boxed{\tt{PROBLEM}}}

PROBLEM

4. A chocolate milk container in the form of a rectangular prism is 5 cm long,

3 cm wide, and 9 cm high. How many cubic centimeters of chocolate milk

can it hold?

\huge\huge\color{lime}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

Lxwxh

= 5x3x9

=134

= 135 \: c {m}^{2} =135cm

2

=============================

\huge\huge\color{magenta}{\boxed{\tt{PROBLEM}}}

PROBLEM

5. Find the volume of a right circular cone-shaped building with a height of 9

cm and a radius base of 7 cm.

\huge\huge\color{magenta}{\boxed{\tt{ANS/SOL}}}

ANS/SOL

Height =9cm

Radius =7cm

Find : Volume Of A Conical Building

Solution:

Volume of Cone

= \pi {8}^{2} \frac{h}{3 } =π8

2

3

h

= \frac{22}{7} x7x7x \frac{9}{3} =

7

22

x7x7x

3

9

= 22x7x3=22x7x3

= 46 \: 2 \: c {m}^{3} =462cm

3

So The Hence Volume Of the Cone is 462 cm³

=============================

#CARRYONLEARNING

=============================

SFADSSFADS