All categories

3 years ago

A rectangular prism has a length of 10m, a height of 9m, and a width of 15m. What is its volume, in cubic m?

Mathematics

2 answers:

In-s [12.5K]3 years ago

4 0

Answer:

1350 cubic meters

Step-by-step explanation:

10 x 9 = 90 meters

90 x 15 = 1350 cubic meters

hope this helps

skad [1K]3 years ago

4 0

Answer:

1350m³

Step-by-step explanation:

Volume of a rectangular prism is 'length * width * height'.

The rectangular prism "has a length of 10m, a height of 9m, and a width of 15m".

10 * 15 * 9 = 1350

The volume of the prism should be 1350m³.

You might be interested in

In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?

LuckyWell [14K]

Answer:

$MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $j$ groups and on each group from $j=1,\dots,j$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}=6750+8000=14750$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1$ where k represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-k$ .

And the total degrees of freedom would be $df=N-1$

We can find the $MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

And the we can find the F statistic $F=\frac{MSR}{MSE}=$

8 0

3 years ago

7/6 * 16/6 in simplest form

Slav-nsk [51]

Answer:

3.83333333333

Step-by-step explanation:

6 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap

gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

$\frac{dV}{dt}=15ft^3/min$

We have to find the increasing rate of change of height of pile when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r= $\frac{d}{2}=\frac{h}{2}$

Volume of pile= $\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3$

$\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}$

h=12 ft

Substitute the values

$15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}$

$\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}$

$\frac{dh}{dt}=0.13ft/min$

7 0

3 years ago

If yard is 3 feet long how many inches are in a yard

Alla [95]

There are 12 inches in a foot and if a yard is 3 feet then do:
3 x 12 and you get 36in
So there are 36 inches in a yard

7 0

3 years ago

A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. T

Lubov Fominskaja [6]

Answer:number of oranges needed to make 24 fluid ounces of juice. the student writes this proportion: equation explain the error in the student's work. ... Astudent uses the ratio of 4 oranges to 6 fluid ounces to find the number of ... Ratio is the relationship between two numbers, defined as the quotient of one number for the other.

Step-by-step explanation: hope it helps

5 0

3 years ago