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What is the surface area of the stack of the cube at the right if each cube has a side of 1 cm?
To find the surface area of a single cube, you calculate the area of each face (6 faces) and add them together. Each face has an area of 1 cm x 1 cm = 1 cm². Therefore, the surface area of one cube is 6 cm². If the stack consists of n cubes, the total surface area would be 6n cm².
Why 3cm cube has the greater surface area?
A 3 cm cube has a greater surface area compared to smaller cubes because surface area increases with the square of the side length. The surface area of a cube is calculated using the formula (6a^2), where (a) is the length of one side. For a 3 cm cube, this results in a surface area of (54 , \text{cm}^2). In general, larger cubes will always have a greater surface area than smaller ones, assuming they are solid and perfectly cubic in shape.
How many cubes each of surface 4 sq cm can be made from a 8cm cube?
The surface area of one cube with a surface area of 4 sq cm can be calculated using the formula for the surface area of a cube: (6a^2), where (a) is the length of one side. For a surface area of 4 sq cm, (6a^2 = 4), which gives (a^2 = \frac{4}{6} = \frac{2}{3}), so (a = \sqrt{\frac{2}{3}} \approx 0.816) cm. The volume of this smaller cube is (a^3 = \left(\sqrt{\frac{2}{3}}\right)^3 = \frac{2\sqrt{2}}{9} \approx 0.314) cm³. The volume of the original 8 cm cube is (8^3 = 512) cm³. Therefore, the number of smaller cubes that can be made is ( \frac{512}{0.314} \approx 1630) cubes.
How much surface area was gained by dividing up the 100 cm cube into 1 cm cubes?
The total surface area of a 100 by 100 cm cube is 60,000 square centimeters. Each smaller cube has a surface area of 6 square centimeters for a total of 6,000,000 square centimeters. This is a gain of 5,940,000 square centimeters.
What is the surface area of a rectangular prism with measurements of 4 cm and 2cm?
You need three measures of length to determine the surface area - the length, width and height.
What is the surface area of the stack of the cube at the right if each cube has a side of 1 cm?
To find the surface area of a single cube, you calculate the area of each face (6 faces) and add them together. Each face has an area of 1 cm x 1 cm = 1 cm². Therefore, the surface area of one cube is 6 cm². If the stack consists of n cubes, the total surface area would be 6n cm².
Which has a great surface area a cube that is 2 cm x 2 cm on a side or eight cubes that are each 1 cm x 1 cm on a side?
The eight little cubes, combined, have the same volume as the single big cube has, but they have double the surface area of the big one.
What is the surface area and volume for cubes with 1cm?
A cube with 1 cm sides has a surface area of 6 cm2 and a volume of 1 cm3.
What is the maximum surface area if the number of cubes is 410 cubes maximizes the surface area in each case?
The diameter of a circle is 56 cm. What is the circumference of the circle? Use 22/7 to approximate for pi.
What would the surface area be if the same cube was crushed into 8 cubes with each face measuring B cm x B cm?
8 cubes with each face measuring B cm x B cm will have a total surface area of 8 x 6 x B x B square cm.
If a cube has an area of 49 cm2 what are the cubes dimensions?
If the surface area is 49 cm2 then the edge lengths are 2.858 cm
Why 3cm cube has the greater surface area?
A 3 cm cube has a greater surface area compared to smaller cubes because surface area increases with the square of the side length. The surface area of a cube is calculated using the formula (6a^2), where (a) is the length of one side. For a 3 cm cube, this results in a surface area of (54 , \text{cm}^2). In general, larger cubes will always have a greater surface area than smaller ones, assuming they are solid and perfectly cubic in shape.
How many 3-cm cubes do you need to build a bug cube that has a total surface area of 1350cm2?
125
What is the area of a cube that is 3 cm on each edge?
The surface area of the cube will be 54cm2To find the surface area for other cubes, take the edge length (x) and square it (x2) and then multiply that by six: x2*6 = surface area.
What is the area for 48cm cubes and 6 layers of cubes?
To find the area of 48 cm cubes arranged in 6 layers, we first consider the area of a single cube. Each face of a cube with a side length of 48 cm has an area of ( 48 \times 48 = 2304 , \text{cm}^2 ). Since a cube has 6 faces, the total surface area for one cube is ( 6 \times 2304 = 13824 , \text{cm}^2 ). However, if the cubes are stacked in layers, the total exposed surface area may differ, depending on how many faces are hidden due to the stacking. For a precise calculation, additional details about the arrangement would be needed.
How many cubes each of surface 4 sq cm can be made from a 8cm cube?
The surface area of one cube with a surface area of 4 sq cm can be calculated using the formula for the surface area of a cube: (6a^2), where (a) is the length of one side. For a surface area of 4 sq cm, (6a^2 = 4), which gives (a^2 = \frac{4}{6} = \frac{2}{3}), so (a = \sqrt{\frac{2}{3}} \approx 0.816) cm. The volume of this smaller cube is (a^3 = \left(\sqrt{\frac{2}{3}}\right)^3 = \frac{2\sqrt{2}}{9} \approx 0.314) cm³. The volume of the original 8 cm cube is (8^3 = 512) cm³. Therefore, the number of smaller cubes that can be made is ( \frac{512}{0.314} \approx 1630) cubes.
How much surface area was gained by dividing up the 100 cm cube into 1 cm cubes?
The total surface area of a 100 by 100 cm cube is 60,000 square centimeters. Each smaller cube has a surface area of 6 square centimeters for a total of 6,000,000 square centimeters. This is a gain of 5,940,000 square centimeters.
