Calculate cuboid, diagonals

The volume of a cuboid with a square base is 64 cm³, and the space diagonal deviation from the base's plane is 45 degrees. Calculate its surface area.

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You need to know the following knowledge to solve this word math problem:

algebra

rearrange variables

arithmetic

square root

solid geometry

cuboid
space diagonal

planimetry

Pythagorean theorem
area of a shape
triangle
square
diagonal

goniometry and trigonometry

tangent
arctangent

Units of physical quantities

unit conversion
volume
angle

Grade of the word problem

practice for 14 year olds
high school

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