11.03.2020

Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base (this is called a truncated pyramid).The building has a 64 × 64 m square base and is 36 m tall. The cut off section has a 16 × 16 m, square base and is 12 m tall. What is the volume of the buliding?

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24.06.2023, solved by verified expert
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48128m^3

Step-by-step explanation:

Given data

For the building

L=64m

W= 6m

H= 36m

The volume is

V= LWH/3

V=64*64*36/3

V=147456/3

V=49152m^3

For the off-Cut

L=16m

W= 16m

H= 12m

The volume is

V= LWH/3

V=16*16*12/3

V=3072/3

V=1024m^3

Hence the volume of the truncated part/Building

= Volume of building-volume of off-cut

=49152-1024

=48128m^3

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Mathematics
Step-by-step answer
P Answered by PhD

48128m^3

Step-by-step explanation:

Given data

For the building

L=64m

W= 6m

H= 36m

The volume is

V= LWH/3

V=64*64*36/3

V=147456/3

V=49152m^3

For the off-Cut

L=16m

W= 16m

H= 12m

The volume is

V= LWH/3

V=16*16*12/3

V=3072/3

V=1024m^3

Hence the volume of the truncated part/Building

= Volume of building-volume of off-cut

=49152-1024

=48128m^3

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Mathematics
Step-by-step answer
P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Mathematics
Step-by-step answer
P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

Mathematics
Step-by-step answer
P Answered by PhD

Total fabric purchased = 1 1/4 = 5/4

Fabric used = 3/4

Fabric left = 5/4 - 3/4

                 = 2/4

                 =1/2 yard

Mathematics
Step-by-step answer
P Answered by PhD

Attendance in jan = 140

Attendance next week = 252

Change in attendance = 252 - 140 = 112

% change = change/Attendance before *100

                = 112/140 * 100

                =80 % 

Mathematics
Step-by-step answer
P Answered by PhD
Answer: $4,873.Explanation:Please refer to the attached table.  The total cost includes the cos

Answer: $4,873.

Explanation:
Please refer to the attached table.  
The total cost includes the cost of the room and the cost of buffet dinner.
From the given table hotel 5,
The cost of the room for 120 people is found to be $166 per hour.
The conference will last for 5 hours so the total cost of the room is:
Cost of room=5*$166=$830.
From the given table hotel 5,
The cost of the buffet dinner per head is found to be $30.
Since there are total 120 people so the total cost of dinner is:
Cost of dinner=120*$30=$3600;
Total cost=$830+$3600=$4430.
We are given that hotel 5 has recently increased the total chargers by 10%:
Total cost=$4430*1.10;.
Total cost=$4,873
Therefore, the booking cost of hotel 5 would be $4,873.

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