The surface area of an ice cube with 4 cm sides can be calculated by finding the area of each face and then adding them together.
Each face has an area of 4 cm * 4 cm = 16 cm^2.
Since there are 6 faces on a cube, the total surface area is 6 * 16 cm^2 = 96 cm^2.
Therefore, the correct answer is B) 96 cm^2.
What is the surface area of an ice cube that has 4 cm sides?
Responses
A 64
.64 cm 2 .
B 96
.96 cm 2 .
C 128
.128 cm 2 .
D 301
.
9 answers
Tuition for one year at a state university is about $30,000. Nyella would like to attend this university and will save money each month for the next 3 years. Her parents will give her $12,500 for her first year of tuition. What plan shows the minimum amount of money Nyella must save to have enough money to her first year of tuition?
Responses
A Save $833.33 per month for 3 yearsSave $833.33 per month for 3 years
B Save $486.11 per month for 3 yearsSave $486.11 per month for 3 years
C Save $1,180.56 per month for 3 yearsSave $1,180.56 per month for 3 years
D Save $364.58 per month for 3 years
Responses
A Save $833.33 per month for 3 yearsSave $833.33 per month for 3 years
B Save $486.11 per month for 3 yearsSave $486.11 per month for 3 years
C Save $1,180.56 per month for 3 yearsSave $1,180.56 per month for 3 years
D Save $364.58 per month for 3 years
To determine the minimum amount of money Nyella must save each month for the next 3 years, we need to subtract the amount her parents will give her ($12,500) from the total cost of tuition ($30,000).
$30,000 - $12,500 = $17,500
Next, we divide the remaining amount by the number of months in 3 years (36 months) to find the monthly savings amount.
$17,500 / 36 months = $486.11
Therefore, the correct answer is B) Save $486.11 per month for 3 years.
$30,000 - $12,500 = $17,500
Next, we divide the remaining amount by the number of months in 3 years (36 months) to find the monthly savings amount.
$17,500 / 36 months = $486.11
Therefore, the correct answer is B) Save $486.11 per month for 3 years.
Blanca is going to use a box that is a rectangular prism for a card box at her son’s birthday party. She will wrap and decorate the box. The dimensions of the box are shown in the diagram.
Height= 9.1 in.
Length= 10.5 in.
Width= 7 in.
What is the total surface area of the box in square inches?
Height= 9.1 in.
Length= 10.5 in.
Width= 7 in.
What is the total surface area of the box in square inches?
The total surface area of a rectangular prism can be calculated by finding the area of each of its six faces and then adding them together.
The dimensions of the box are:
Height = 9.1 in.
Length = 10.5 in.
Width = 7 in.
The six faces of the box are:
1) Top: Length * Width = 10.5 in * 7 in = 73.5 in^2
2) Bottom: Length * Width = 10.5 in * 7 in = 73.5 in^2
3) Front: Length * Height = 10.5 in * 9.1 in = 95.55 in^2
4) Back: Length * Height = 10.5 in * 9.1 in = 95.55 in^2
5) Left side: Width * Height = 7 in * 9.1 in = 63.7 in^2
6) Right side: Width * Height = 7 in * 9.1 in = 63.7 in^2
Adding the areas of all six faces, we get:
73.5 in^2 + 73.5 in^2 + 95.55 in^2 + 95.55 in^2 + 63.7 in^2 + 63.7 in^2 = 465.4 in^2
Therefore, the total surface area of the box is 465.4 square inches.
The dimensions of the box are:
Height = 9.1 in.
Length = 10.5 in.
Width = 7 in.
The six faces of the box are:
1) Top: Length * Width = 10.5 in * 7 in = 73.5 in^2
2) Bottom: Length * Width = 10.5 in * 7 in = 73.5 in^2
3) Front: Length * Height = 10.5 in * 9.1 in = 95.55 in^2
4) Back: Length * Height = 10.5 in * 9.1 in = 95.55 in^2
5) Left side: Width * Height = 7 in * 9.1 in = 63.7 in^2
6) Right side: Width * Height = 7 in * 9.1 in = 63.7 in^2
Adding the areas of all six faces, we get:
73.5 in^2 + 73.5 in^2 + 95.55 in^2 + 95.55 in^2 + 63.7 in^2 + 63.7 in^2 = 465.4 in^2
Therefore, the total surface area of the box is 465.4 square inches.
Luke deposits $3,500 into each of two savings accounts.
Account I earns 3% annual simple interest.
Account II earns 3% interest compounded annually.
Luke does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 4 years?
Responses
A $7,859.28$7,859.28
B $3,920.00$3,920.00
C $3,939.28$3,939.28
D $4,359.28
Account I earns 3% annual simple interest.
Account II earns 3% interest compounded annually.
Luke does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 4 years?
Responses
A $7,859.28$7,859.28
B $3,920.00$3,920.00
C $3,939.28$3,939.28
D $4,359.28
To find the balance of Account I after 4 years, we can use the formula for simple interest:
Balance of Account I = Principal * (1 + interest rate * time)
For Account I:
Principal = $3,500
Interest rate = 3% = 0.03
Time = 4 years
Balance of Account I = $3,500 * (1 + 0.03 * 4) = $3,500 * 1.12 = $3,920
Now let's calculate the balance of Account II, which earns compound interest. The formula for compound interest is:
Balance of Account II = Principal * (1 + interest rate)^time
For Account II:
Principal = $3,500
Interest rate = 3% = 0.03
Time = 4 years
Balance of Account II = $3,500 * (1 + 0.03)^4 = $3,500 * 1.1255 = $3,939.25 (rounded to the nearest cent)
The sum of the balances of Account I and Account II is $3,920 + $3,939.25 ≈ $7,859.25.
Therefore, the correct answer is A) $7,859.28.
Balance of Account I = Principal * (1 + interest rate * time)
For Account I:
Principal = $3,500
Interest rate = 3% = 0.03
Time = 4 years
Balance of Account I = $3,500 * (1 + 0.03 * 4) = $3,500 * 1.12 = $3,920
Now let's calculate the balance of Account II, which earns compound interest. The formula for compound interest is:
Balance of Account II = Principal * (1 + interest rate)^time
For Account II:
Principal = $3,500
Interest rate = 3% = 0.03
Time = 4 years
Balance of Account II = $3,500 * (1 + 0.03)^4 = $3,500 * 1.1255 = $3,939.25 (rounded to the nearest cent)
The sum of the balances of Account I and Account II is $3,920 + $3,939.25 ≈ $7,859.25.
Therefore, the correct answer is A) $7,859.28.
A pencil holder shaped like a triangular prism is shown. The height of the prism is 12 centimeters.
What is the lateral surface area of the pencil holder in square centimeters?
What is the lateral surface area of the pencil holder in square centimeters?
To find the lateral surface area of the pencil holder, we need to calculate the area of the three rectangular faces.
Since the pencil holder is shaped like a triangular prism, it has two triangular faces and three rectangular faces.
The height of the prism is given as 12 centimeters, but the dimensions of the triangular bases are not provided.
Without the dimensions of the triangular bases, we cannot accurately calculate the lateral surface area.
Please provide the dimensions of the triangular bases of the pencil holder so that we can calculate the lateral surface area.
Since the pencil holder is shaped like a triangular prism, it has two triangular faces and three rectangular faces.
The height of the prism is given as 12 centimeters, but the dimensions of the triangular bases are not provided.
Without the dimensions of the triangular bases, we cannot accurately calculate the lateral surface area.
Please provide the dimensions of the triangular bases of the pencil holder so that we can calculate the lateral surface area.
2 answers