Two similar geometric solids have a scale factor of 3:4. If the volume of the smaller solid is 54 cubic feet, what is the volume of the larger solid? Round to the nearest tenth as needed. Thank you for your help!

128 ft³

Step-by-step explanation:

given the scale factor of 2 similar solids is a : b , then

ratio of volumes = a³ : b³

here a : b = 3 : 4

then 3³ : b³ = 3³ : 4³ = 27 : 64

let x be volume of larger solid then by proportion

= ( cross- multiply )

27x = 3456 ( divide both sides by 27 )

x = 128

the volume of the larger solid is 128 ft³

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

The solution is given in the image below

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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.