A samll bar of gold measures 40 mm by 25 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounce. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.
Thank you!
v = 40mm * 25mm * 2mm = 2000 mm^3
so, the weight is
2000 mm^3 * .0005oz/1mm^3 = 1oz
The area of the base of a rectangular juice box is 4 1/2 square inches. If the volume of the box is 18 cubic inches, how tall is the box?
To find the volume of the small bar of gold, we multiply its dimensions:
Volume = length × width × height
Volume = 40 mm × 25 mm × 2 mm
Volume = 2000 cubic mm
Therefore, the volume of the small bar of gold is 2000 cubic millimeters.
To find the weight of the small bar of gold, we need to multiply its volume by the weight per cubic millimeter:
Weight = Volume × Weight per cubic millimeter
Weight = 2000 cubic mm × 0.0005 ounce per cubic mm
Therefore, the weight of the small bar of gold is 1 ounce.
To find the volume of the small bar of gold, we need to calculate the product of its three dimensions: length, width, and height.
Volume (in cubic millimeters) = Length x Width x Height
= 40 mm x 25 mm x 2 mm
Using these values, we can calculate the volume of the small bar of gold:
Volume (in cubic millimeters) = 2000 cubic millimeters
Now that we know the volume in cubic millimeters, we can find the weight in ounces. We are given that one cubic millimeter of gold weighs about 0.0005 ounce.
Weight (in ounces) = Volume (in cubic millimeters) x Weight per cubic millimeter
= 2000 cubic millimeters x 0.0005 ounce/cubic millimeter
Using these values, we can calculate the weight of the small bar of gold:
Weight (in ounces) = 1 ounce
Therefore, the volume of the small bar of gold is 2000 cubic millimeters and it weighs 1 ounce.